isesReview what you’ve learned using these practice problems. For practice problemswith feedback, try the Coach and Play items in the Practice section online.1. Solve the equation |2x + 1| = 3 and then complete 4. The solution set for the following set ofthe statement below.The values that make the equation true areinequalities is represented by a disjunction.2x - 4 > 8X =and x =4 - 5x > 142. The graph shows the solution set for whichcompound inequality?Solve the inequalities and complete the statementbelow.The solution set for the inequalities is any numbergreater than-13-12-11 -10 -88 7 6 5or any number less than012 34 56A. x+ 3 < 8 OR x+ 3 > -85. Choose the value(s) for x that solve this equation.B. x-3 < -11 AND x – 3 > 116|x - 2|= 3x4x + 3 < 8 AND x+ 3 > -8* C. x=}A. x= 0B. x= -2 or x =D. x- 3 < 8 AND x – 3 > -8D. x=-2 E. x= - or x= 23. Solve the inequality |2x – 4| > 2 and thencomplete the statements below.6. Solve the inequality |x + 1| < -2.Which graph best represents the solution set ofthe inequality?To solve the inequality, rewrite it into twoinequalities:A. KI-7 -6 -5 -4 -3 -2 -1 0 1234 5678 9 102х - 4<ORB. +H +++H2x – 4 >-7 -6 -5 4 -3 -2 -1 0 1 2 3 4 5 67 8 9 10Write the values of x that make the inequalityC. + KI I ILNtrue:-1 -6 -5 4 -3 -2 -1 01 2 345 67 8 9 10x is less thanorD. ++-7-6-5-4 -3 -2 -1 0 1 23 4 5 67 B 9 10x is greater than7. Consider the equation |2x – 6| + 9 = 5.Which statement is true?A. The equation has exactly one solution.B. The equation has exactly two solutions.C. The equation has no solution.D. The equation has infinitely manysolutions.Solve Absolute Value Equations and Inequalities | 71ation I www.DiscoveryEducation.com

Answered: Image /qna-images/answer/43c2f904-fba1-4136-8102-438c071b56a3.jpg

The solution set for the inequalities is greater than any number -13-12-11-10 -9 +++ or any number less than A. x+ 3 < 8 OR x + 3 > -8 5. Choose the value(s) for x that solve this equation. 6|x - 2| B. x-3 < -11 AND x-3 > 11 = 3x 4. C. x+ 3 < 8 AND

The solution set for the inequalities is greater than any number -13-12-11-10 -9 +++ or any number less than A. x+ 3 < 8 OR x + 3 > -8 5. Choose the value(s) for x that solve this equation. 6|x - 2| B. x-3 < -11 AND x-3 > 11 = 3x 4. C. x+ 3 < 8 AND

Algebra and Trigonometry (6th Edition)

6th Edition

ISBN:9780134463216

Author:Robert F. Blitzer

Publisher:Robert F. Blitzer

ChapterP: Prerequisites: Fundamental Concepts Of Algebra

Section: Chapter Questions

Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...

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Question

ises
Review what you’ve learned using these practice problems. For practice problems
with feedback, try the Coach and Play items in the Practice section online.
1. Solve the equation |2x + 1| = 3 and then complete 4. The solution set for the following set of
the statement below.
The values that make the equation true are
inequalities is represented by a disjunction.
2x - 4 > 8
X =
and x =
4 - 5x > 14
2. The graph shows the solution set for which
compound inequality?
Solve the inequalities and complete the statement
below.
The solution set for the inequalities is any number
greater than
-13-12-11 -10 -88 7 6 5
or any number less than
012 34 56
A. x+ 3 < 8 OR x+ 3 > -8
5. Choose the value(s) for x that solve this equation.
B. x-3 < -11 AND x – 3 > 11
6|x - 2|
= 3x
4
x + 3 < 8 AND x+ 3 > -8
* C. x=}
A. x= 0
B. x= -2 or x =
D. x- 3 < 8 AND x – 3 > -8
D. x=-2 E. x= - or x= 2
3. Solve the inequality |2x – 4| > 2 and then
complete the statements below.
6. Solve the inequality |x + 1| < -2.
Which graph best represents the solution set of
the inequality?
To solve the inequality, rewrite it into two
inequalities:
A. KI
-7 -6 -5 -4 -3 -2 -1 0 1234 5678 9 10
2х - 4<
OR
B. +H +++H
2x – 4 >
-7 -6 -5 4 -3 -2 -1 0 1 2 3 4 5 67 8 9 10
Write the values of x that make the inequality
C. + KI I ILN
true:
-1 -6 -5 4 -3 -2 -1 01 2 345 67 8 9 10
x is less than
or
D. ++
-7-6-5-4 -3 -2 -1 0 1 23 4 5 67 B 9 10
x is greater than
7. Consider the equation |2x – 6| + 9 = 5.
Which statement is true?
A. The equation has exactly one solution.
B. The equation has exactly two solutions.
C. The equation has no solution.
D. The equation has infinitely many
solutions.
Solve Absolute Value Equations and Inequalities | 71
ation I www.DiscoveryEducation.com

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