Question

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

Answer 1

Answer:

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

Step-by-step 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.