Answer set of inequality |2x + 4| < 5 equal to?​

Question

Answer set of inequality

`|2x + 4| < 5`
equal to?​

Answer 1

x ∈ (- 9/2; 1/2), it can also be written as -9/2 <x< 1/2

Explanation:

We have absolute value, so we will have2 inequalities.

2x + 4 < 5 and -(2x +4)< 5

2x < 1 -2x - 4 < 5

x < 1/2 -2x < 9

or x > -9/2

(-∞; 1/2) or (- 9/2; ∞)

(-∞; 1/2) ∩ (- 9/2; ∞) = (- 9/2; 1/2)

The answer is x ∈ (- 9/2; 1/2), it can also be written as -9/2 <x< 1/2.