Question

|x + 3| < 5  (1 point)

–8 < x < 2
–2 < x < 8
3 < x < 5
–3 < x < 5

Answer 1

Similar Example:

|x + 1| < 7

-7 < x + 1 < 7

-7-1 < x + 1-1 < 7-1

-8 < x < 6

So the solution is -8 < x < 6

Answer 2

Think of the absolute value of x+3 as "some number" that inequality is saying some number is less than 5 units away from 0.

Answer 3

It follows then that x+3 falls within the shaded region.