191,985 views
30 votes
30 votes
Identify the graphical solution to the inequality

Identify the graphical solution to the inequality-example-1
User Druta Ruslan
by
2.9k points

1 Answer

16 votes
16 votes

Answer:

A

Explanation:

to solve absolute value inequalities you must solve it for when the absolute value is positive and then when it is negative

example, |4| = 4 and -4

first solution will be when we're solving for the positive value:

+(-4x+7) ≥ 27

-4x + 7 ≥ 27

-4x ≥ 20

x ≤ -5 [reverse the symbol when mult or div by a negative]

-(-4x+7) ≥ 27

4x - 7 ≥ 27

4x ≥ 34

x ≥ 34/4 or x ≥ 8 1/2

solution: x ≤ -5 or x ≥ 8.5

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.