Solve the inequality and sketch solution on number line. 1. 3(4-5x which is absolute value not prentheses)less than or equal to 9.

Lillie Pittman

Lillie Pittman

Answered question

2022-07-25

Solve the inequality and sketch solution on number line.
1. 3(4-5x which is absolute value not prentheses)less than or equal to 9.

Answer & Explanation

Sandra Randall

Sandra Randall

Beginner2022-07-26Added 17 answers

3 | 4 5 x | 9
First, you split up the problem to get rid of the absolute values(meaning have a "positive" inequality and a "negative" inequality),and change the inequality to an equality (we will fix this one later)
First, our "positive", where the signs are left alone:
3(4-5x)=9
12-15x=9
-15x=-3
x=1/5
Next, our "negative" where signs are inverted:
3(-4+5x)=9
-15+15x=9
15x=24
x=8/5

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