How to solve |2x-3|<2?

YZ1FW5f4f

YZ1FW5f4f

Answered question

2023-02-12

How to solve | 2 x - 3 | < 2 ?

Answer & Explanation

Alissa Case

Alissa Case

Beginner2023-02-13Added 6 answers

The inequality is
| 2 x - 3 | < 2
Hence,
2 x - 3 < 2 and 2 x - 3 2
First equation results in
2 x < 2 + 3
x < 5 2
Second equation results in
2 x 2 + 3
x > 1 2
Merging the 2 solutions
x ( 1 2 , 5 2 )
leshumict6

leshumict6

Beginner2023-02-14Added 2 answers

Inequalities of the type | x | < a
Always have solutions of the form
- a < x < a
- 2 < 2 x - 3 < 2
add 3 to all three intervals
- 2 + 3 < 2 x - 3 + 3 < 2 + 3
1 < 2 x < 5
divide all three intervals by 2
1 2 < x < 5 2

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