Hich of the following expressions is equivalent to |x + 4| < 5? a. –5 > x + 4 < 5 b. –5 < x + 4 < 5 c. x + 4 < 5 and x + 4 < –5 d. x + 4 < 5 or x + 4 < –5 select the best answer from the choices provided a b c d

option B

Given : |x + 4| < 5

A. –5 > x + 4 < 5

B. –5 < x + 4 < 5

C. x + 4 < 5 and x + 4 < –5

D. x + 4 < 5 or x + 4 < –5

In general , |x|< n where n is positive

Then we translate to -n < x < n

|x + 4| < 5

5 is positive, so we translate the given absolute inequality to

-5 < x+4 < 5

So option B is correct

first one because it can't have a fraction in it

step-by-step explanation: