Question

|4x+3|<5
Please help me do this simple question

Answer 1

Explanation:

Given problem:

|4x+3|<5

From the problem, we need to find x;

|4x+3|<5

To solve absolute values problem like this, use the approach below;

|4x+3|<5

4x + 3 < 5 or -(4x + 3) < 5

4x < 5 - 3 or -4x - 3 < 5

4x < 2 or -4x < 5 + 3

x =
`(2)/(4)` or -4x < 8

x =
`(1)/(2)` or x >
`(8)/(-4)` = -2

(when dividing or multiplying by a negative value, the sign changes)