Solutions for Precalculus
Problem 1SP:
Solve the inequality. Graph the solution set and write the solution set in set-builder notation and...Problem 2SP:
Solve the inequality. Graph the solution set and write the solution set-builder notation and in...Problem 3SP:
Solve. 14y1or3+y5Problem 4SP:
Solve. 0.36w0.54and12w3Problem 5SP:
Solve. 163y42Problem 8SP:
Solve the inequality and write the solution set in interval notation where appropriate....Problem 9SP:
For a recent year, the monthly snowfall (in inches) for Chicago, Illinois, for November, December,...Problem 1PE:
The multiplication and division properties of inequality indicate that if both sides of an...Problem 2PE:
If a compound inequality consists of two inequalities joined by the word “and,� the solution set...Problem 9PE:
For Exercise 9-26, solve the inequality. Graph the solution set, and write the solution set builder...Problem 10PE:
For Exercise 9-26, solve the inequality. Graph the solution set, and write the solution set builder...Problem 13PE:
For Exercise 9-26, solve the inequality. Graph the solution set, and write the solution set builder...Problem 16PE:
For Exercise 9-26, solve the inequality. Graph the solution set, and write the solution set builder...Problem 18PE:
For Exercise 9-26, solve the inequality. Graph the solution set, and write the solution set builder...Problem 19PE:
For Exercise 9-26, solve the inequality. Graph the solution set, and write the solution set builder...Problem 21PE:
For Exercise 9-26, solve the inequality. Graph the solution set, and write the solution set builder...Problem 22PE:
For Exercise 9-26, solve the inequality. Graph the solution set, and write the solution set builder...Problem 24PE:
For Exercise 9-26, solve the inequality. Graph the solution set, and write the solution set builder...Problem 26PE:
For Exercise 9-26, solve the inequality. Graph the solution set, and write the solution set builder...Problem 27PE:
For Exercise 27-34, solve the compound inequality. Graph the solution set, and write the solution...Problem 28PE:
For Exercise 27-34, solve the compound inequality. Graph the solution set, and write the solution...Problem 29PE:
For Exercise 27-34, solve the compound inequality. Graph the solution set, and write the solution...Problem 30PE:
For Exercise 27-34, solve the compound inequality. Graph the solution set, and write the solution...Problem 32PE:
For Exercise 27-34, solve the compound inequality. Graph the solution set, and write the solution...Problem 37PE:
For Exercise 37-42, solve the compound inequality. Graph the solution set, and write the solution...Problem 38PE:
For Exercise 37-42, solve the compound inequality. Graph the solution set, and write the solution...Problem 39PE:
For Exercise 37-42, solve the compound inequality. Graph the solution set, and write the solution...Problem 40PE:
For Exercise 37-42, solve the compound inequality. Graph the solution set, and write the solution...Problem 41PE:
For Exercise 37-42, solve the compound inequality. Graph the solution set, and write the solution...Problem 44PE:
For Exercise 43-46, solve the equation or inequality. Write the solution set to each inequality...Problem 46PE:
For Exercise 43-46, solve the equation or inequality. Write the solution set to each inequality...Problem 47PE:
For Exercises 47-60, solve the inequality, and write the solution set in interval notation if...Problem 48PE:
For Exercises 47-60, solve the inequality, and write the solution set in interval notation if...Problem 51PE:
For Exercises 47-60, solve the inequality, and write the solution set in interval notation if...Problem 52PE:
For Exercises 47-60, solve the inequality, and write the solution set in interval notation if...Problem 54PE:
For Exercises 47-60, solve the inequality, and write the solution set in interval notation if...Problem 57PE:
For Exercises 47-60, solve the inequality, and write the solution set in interval notation if...Problem 58PE:
For Exercises 47-60, solve the inequality, and write the solution set in interval notation if...Problem 59PE:
For Exercises 47-60, solve the inequality, and write the solution set in interval notation if...Problem 60PE:
For Exercises 47-60, solve the inequality, and write the solution set in interval notation if...Problem 66PE:
For Exercises 61-68, write the solution set. (See Example 8) a.2w=0b.2w0c.2w0d.2w0e.2w0Problem 67PE:
For Exercises 61-68, write the solution set. (See Example 8) a.k+4=0b.k+40c.k+40d.k+40e.k+40Problem 68PE:
For Exercises 61-68, write the solution set. (See Example 8) a.c3=0b.c30c.c30d.c30e.c30Problem 69PE:
Marilee wants to earn an “A� in a class and needs an overall average of at least 92. Her test...Problem 70PE:
A 10-yr-old competes in gymnastics. For several competitions she received the following...Problem 71PE:
Rita earns scores of 78, 82, 90, 80, and 75 on her five chapter tests for a certain class and a...Problem 72PE:
Trent earns scores of 66, 84, and 72 on three chapter tests for a certain class. His homework grade...Problem 73PE:
A car travels 50 mph and passes a truck traveling 40 mph. How long will it take the car to be more...Problem 74PE:
A rectangular garden is to be constructed so that the width is 100 ft. What are the possible values...Problem 75PE:
For a certain bowling league, a beginning bowler computes her handicap by taking 90 of the...Problem 78PE:
Nancy wants to vacation in Austin, Texas. Hotel A charges $179 per night with a 14% nightly room tax...Problem 79PE:
Absolute value inequalities are often used to represent measurement error. For example, suppose that...Problem 80PE:
Absolute value inequalities are often used to represent measurement error. For example, suppose that...Problem 83PE:
A refrigerator manufacturer recommends that temperature tinoF inside a refrigerator be 36.5oF, if...Problem 85PE:
The results of a political poll indicate that the leading candidate will receive 51 of the votes...Problem 88PE:
For Exercises 87-92, determine the set of value for x for which the radical expression would produce...Problem 90PE:
For Exercises 87-92, determine the set of value for x for which the radical expression would produce...Problem 91PE:
For Exercises 87-92, determine the set of value for x for which the radical expression would produce...Problem 92PE:
For Exercises 87-92, determine the set of value for x for which the radical expression would produce...Problem 97PE:
How is the process to solve a linear inequality different from the process to solve a linear...Problem 100PE:
Explain why x2=4 is equivalent to the equation x=2.Problem 103PE:
For Exercises 101-106, solve the inequality and write the solution set in interval notation. 1x9Problem 104PE:
For Exercises 101-106, solve the inequality and write the solution set in interval notation. 2y11Problem 105PE:
For Exercises 101-106, solve the inequality and write the solution set in interval notation. 52x+17Problem 106PE:
For Exercises 101-106, solve the inequality and write the solution set in interval notation. 73x513Problem 1PRE:
For Exercises 1-20, a. Identify the type of equation or inequality (some may fit more than one...Problem 3PRE:
For Exercises 1-20, a. Identify the type of equation or inequality (some may fit more than one...Problem 4PRE:
For Exercises 1-20, a. Identify the type of equation or inequality (some may fit more than one...Problem 6PRE:
For Exercises 1-20, a. Identify the type of equation or inequality (some may fit more than one...Problem 10PRE:
For Exercises 1-20, a. Identify the type of equation or inequality (some may fit more than one...Problem 12PRE:
For Exercises 1-20, a. Identify the type of equation or inequality (some may fit more than one...Problem 13PRE:
For Exercises 1-20, a. Identify the type of equation or inequality (some may fit more than one...Problem 15PRE:
For Exercises 1-20, a. Identify the type of equation or inequality (some may fit more than one...Problem 18PRE:
For Exercises 1-20, a. Identify the type of equation or inequality (some may fit more than one...Problem 20PRE:
For Exercises 1-20, a. Identify the type of equation or inequality (some may fit more than one...Problem 1AC:
For Exercise 1-2, write an inequality using an absolute value that represents the given condition....Problem 2AC:
For Exercise 1-2, write an inequality using an absolute value that represents the given condition....Problem 3AC:
Simplify x+8x+8 a.forx8.b.forx8.Problem 5AC:
For Exercise 5-10, a. Simplify the expression. b. Substitute 0 for h in the simplified expression....Problem 7AC:
For Exercise 5-10, a. Simplify the expression. b. Substitute 0 for h in the simplified expression....Problem 9AC:
For Exercise 5-10, a. Simplify the expression. b. Substitute 0 for h in the simplified expression....Problem 10AC:
For Exercise 5-10, a. Simplify the expression. b. Substitute 0 for h in the simplified expression....Problem 11AC:
For exercise 11-12 a. Rationalize the numerator of the expression and simplify. b. Substitute 0 for...Problem 12AC:
For exercise 11-12 a. Rationalize the numerator of the expression and simplify. b. Substitute 0 for...Problem 14AC:
For exercise 13-22, factor completely and write the answer with no negative exponents. Do not...Problem 16AC:
For exercise 13-22, factor completely and write the answer with no negative exponents. Do not...Problem 19AC:
For exercise 13-22, factor completely and write the answer with no negative exponents. Do not...Problem 22AC:
For exercise 13-22, factor completely and write the answer with no negative exponents. Do not...Problem 25AC:
For exercise 23-28, write the answer as a single term and simplify. It is not necessary to...Problem 28AC:
For exercise 23-28, write the answer as a single term and simplify. It is not necessary to...Problem 1EIC:
In Calculus you will see the symbol y . For Exercise 1-4, treat y as a variable and solve the...Problem 4EIC:
In Calculus you will see the symbol y . For Exercise 1-4, treat y as a variable and solve the...Problem 8EIC:
For Exercise 8-10, a. Simplify the expression. Do not rationalize the denominator. b. Find the value...Problem 10EIC:
For Exercise 8-10, a. Simplify the expression. Do not rationalize the denominator. b. Find the value...Browse All Chapters of This Textbook
Chapter R - Review Of PrerequisitesChapter R.1 - Sets And The Real Number LineChapter R.2 - Exponents And RadicalsChapter R.3 - Polynomials And FactoringChapter R.4 - Rational Expressions And More Operations On RadicalsChapter R.5 - Equations With Real SolutionsChapter R.6 - Complex Numbers And More Quadratic EquationsChapter R.7 - Applications Of EquationsChapter R.8 - Linear, Compound, And Absolute Value InequalitiesChapter 1 - Functions And Relations
Chapter 1.1 - The Rectangular Coordinate System And Graphing UtilitiesChapter 1.2 - CirclesChapter 1.3 - Functions And RelationsChapter 1.4 - Linear Equations In Two Variables And Linear FunctionsChapter 1.5 - Applications Of Linear Equations And ModelingChapter 1.6 - Transformations Of GraphsChapter 1.7 - Analyzing Graphs Of Functions And Piecewise-defined FunctionsChapter 1.8 - Algebra Of Functions And Function CompositionChapter 2 - Polynomial And Rational FunctionsChapter 2.1 - Quadratic Functions And ApplicationsChapter 2.2 - Introduction To Polynomial FunctionsChapter 2.3 - Division Of Polynomials And The Remainder And Factor TheoremsChapter 2.4 - Zeros Of PolynomialsChapter 2.5 - Rational FunctionsChapter 2.6 - Polynomial And Rational InequalitiesChapter 2.7 - VariationChapter 3 - Exponential And Logarithmic FunctionsChapter 3.1 - Inverse FunctionsChapter 3.2 - Exponential FunctionsChapter 3.3 - Logarithmic FunctionsChapter 3.4 - Properties Of LogarithmsChapter 3.5 - Exponential And Logarithmic Equations And ApplicationsChapter 3.6 - Modeling With Exponential And Logarithmic FunctionsChapter 4 - Trigonometric FunctionsChapter 4.1 - Angles And Their MeasureChapter 4.2 - Trigonometric Functions Defined On The Unit CircleChapter 4.3 - Right Triangle TrigonometryChapter 4.4 - Trigonometric Functions Of Any AngleChapter 4.5 - Graphs Of Sine And Cosine FunctionsChapter 4.6 - Graphs Of Other Trigonometric FunctionsChapter 4.7 - Inverse Trigonometric FunctionsChapter 5 - Analytic TrigonometryChapter 5.1 - Fundamental Trigonometric IdentitiesChapter 5.2 - Sum And Difference FormulasChapter 5.3 - Double-angle, Power-reducing, And Half-angle FormulasChapter 5.4 - Product-to-sum And Sum-to-product FormulasChapter 5.5 - Trigonometric EquationsChapter 6 - Applications Of Trigonometric FunctionsChapter 6.1 - Applications Of Right TrianglesChapter 6.2 - The Law Of SinesChapter 6.3 - The Law Of CosinesChapter 6.4 - Harmonic MotionChapter 7 - Trigonometry Applied To Polar Coordinate Systems And VectorsChapter 7.1 - Polar CoordinatesChapter 7.2 - Graphs Of Polar EquationsChapter 7.3 - Complex Numbers In Polar FormChapter 7.4 - VectorsChapter 7.5 - Dot ProductChapter 8 - Systems Of Equations And InequalitiesChapter 8.1 - Systems Of Linear Equations In Two Variables And ApplicationsChapter 8.2 - Systems Of Linear Equations In Three Variables And ApplicationsChapter 8.3 - Partial Fraction DecompositionChapter 8.4 - Systems Of Nonlinear Equations In Two VariablesChapter 8.5 - Inequalities And Systems Of Inequalities In Two VariablesChapter 8.6 - Linear ProgrammingChapter 9 - Matrices And Determinants And ApplicationsChapter 9.1 - Solving Systems Of Linear Equations Using MatricesChapter 9.2 - Inconsistent Systems And Dependent EquationsChapter 9.3 - Operations On MatricesChapter 9.4 - Inverse Matrices And Matrix EquationsChapter 9.5 - Determinants And Cramer’s RuleChapter 10 - Analytic GeometryChapter 10.1 - The EllipseChapter 10.2 - The HyperbolaChapter 10.3 - The ParabolaChapter 10.4 - Rotation Of AxesChapter 10.5 - Polar Equations Of ConicsChapter 10.6 - Plane Curves And Parametric EquationsChapter 11 - Sequences, Series, Induction, And ProbabilityChapter 11.1 - Sequences And SeriesChapter 11.2 - Arithmetic Sequences And SeriesChapter 11.3 - Geometric Sequences And SeriesChapter 11.4 - Mathematical InductionChapter 11.5 - The Binomial TheoremChapter 11.6 - Principles Of CountingChapter 11.7 - Introduction To Probability
Book Details
Julie Miller wrote her developmental math series because students were coming into her Precalculus course underprepared. They weren’t mathematically mature enough to understand the concepts of math nor were they fully engaged with the material. She began her developmental mathematics offerings with intermediate algebra to help bridge that gap. The Precalculus series is a carefully constructed end to that bridge that uses the highly effective pedagogical features from her fastest growing developmental math series. What sets Julie Miller’s series apart is that it addresses course issues through an author-created digital package that maintains a consistent voice and notation throughout the program. This consistency--in videos, PowerPoints, Lecture Notes, and Group Activities--coupled with the power of ALEKS and Connect Hosted by ALEKS, ensures that students master the skills necessary to be successful in Precalculus and can carry them through to the calculus sequence.
Sample Solutions for this Textbook
We offer sample solutions for Precalculus homework problems. See examples below:
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PRECALCULAS-ALEKS 360 ACCESS CODE
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ISBN: 9780078035609
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ISBN: 9781259822100
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