Explain how to tell the difference between graphing an inequality with a closed circle and one with open circle. Use example to clarify you explanation.
Answer to Problem 44HP
A closed, or shaded, circle is used to represent the inequalities greater than or equal to (
An open circle is used for greater than (>) or less than (<). The point is not part of the solution. The graph then extends endlessly in one direction.
Explanation of Solution
Given:
Explain how to tell the difference between graphing an inequality with a closed circle and one with open circle. Use example to clarify you explanation.
Concept Used:
Difference between the meanings closed circle and open circle on the number line:
A closed, or shaded, circle is used to represent the inequalities greater than or equal to (
An open circle is used for greater than (>) or less than (<). The point is not part of the solution. The graph then extends endlessly in one direction.
Example for open circle:
An open circle is used for greater than (>) or less than (<). The point is not part of the solution. The graph then extends endlessly in one direction
A closed, or shaded, circle is used to represent the inequalities greater than or equal to (
Chapter 8 Solutions
Glencoe Math Accelerated, Student Edition
Additional Math Textbook Solutions
Elementary Statistics (13th Edition)
Algebra and Trigonometry (6th Edition)
Calculus: Early Transcendentals (2nd Edition)
Thinking Mathematically (6th Edition)
University Calculus: Early Transcendentals (4th Edition)
- Math 2 question. thxarrow_forwardPlease help on this Math 1arrow_forward2. (5 points) Let f(x) = = - - - x² − 3x+7. Find the local minimum and maximum point(s) of f(x), and write them in the form (a, b), specifying whether each point is a minimum or maximum. Coordinates should be kept in fractions. Additionally, provide in your answer if f(x) has an absolute minimum or maximum over its entire domain with their corresponding values. Otherwise, state that there is no absolute maximum or minimum. As a reminder, ∞ and -∞ are not considered absolute maxima and minima respectively.arrow_forward
- Let h(x, y, z) = — In (x) — z y7-4z - y4 + 3x²z — e²xy ln(z) + 10y²z. (a) Holding all other variables constant, take the partial derivative of h(x, y, z) with respect to x, 2 h(x, y, z). მ (b) Holding all other variables constant, take the partial derivative of h(x, y, z) with respect to y, 2 h(x, y, z).arrow_forwardmath help plzarrow_forwardYou guys solved for the wrong answer. The answer in the box is incorrect help me solve for the right one.arrow_forward
- Please help me solve.arrow_forwardj) f) lim x+x ex g) lim Inx h) lim x-5 i) lim arctan x x700 lim arctanx 811xarrow_forward4. Evaluate the following integrals. Show your work. a) -x b) f₁²x²/2 + x² dx c) fe³xdx d) [2 cos(5x) dx e) √ 35x6 3+5x7 dx 3 g) reve √ dt h) fx (x-5) 10 dx dt 1+12arrow_forward
- Calculus: Early TranscendentalsCalculusISBN:9781285741550Author:James StewartPublisher:Cengage LearningThomas' Calculus (14th Edition)CalculusISBN:9780134438986Author:Joel R. Hass, Christopher E. Heil, Maurice D. WeirPublisher:PEARSONCalculus: Early Transcendentals (3rd Edition)CalculusISBN:9780134763644Author:William L. Briggs, Lyle Cochran, Bernard Gillett, Eric SchulzPublisher:PEARSON
- Calculus: Early TranscendentalsCalculusISBN:9781319050740Author:Jon Rogawski, Colin Adams, Robert FranzosaPublisher:W. H. FreemanCalculus: Early Transcendental FunctionsCalculusISBN:9781337552516Author:Ron Larson, Bruce H. EdwardsPublisher:Cengage Learning