Solve each inequality. |2x-1|\le 9

Mabel Breault

Mabel Breault

Answered question

2021-12-13

Solve each inequality.
|2x1|9

Answer & Explanation

Marcus Herman

Marcus Herman

Beginner2021-12-14Added 41 answers

Step 1
Given:
|2x1|9
When solving an inequality with absolute value we really have two inequalities
2x19 and (2x1)9
Solving each one as follows
2x19
Add 1 both sides
2x1+9+1
Simplify
2x10
Divided by 2 both side
2x2102
Simplify
x5
Step 2
Now for the next one
(2x1)9
Dividing by the negative flips the inequality sign
2x19
Add 1 both sides
2x1+19+1
Simplify:
2x8
Divide 2 both sides
2x282
Simplify
x4
Result:
x5
x4

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