Question

Which graph represents the solution to |x – 3| < –4?

Answer 1

|x - 3| < 4

To remove the absolute values, we need to make two inequalities, one positive and one negative

x-3 < 4 and x-3 > -4

Add 3 to each side

x-3+3<4+3 and x-3+3 > -4+3

x<7 and x >-1

-1 <x <7