Question

Which graph shows the solution set for |x - 3| < 4?

Answer 1

see below

Explanation:

|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

Answer 2

Explanation:

One way to do this is to interpret |x - 3| < 4 is to say: "the distance of variable x from the center 3 is less than 4."

On the left side: measuring 4 units to the left from 3, mark an open circle (since x does not actually touch -1).

On the right side: measuring 4 units to the right from 3, mark an open circle at 7.

So the correct graph consists of the line segment connecting x = -1 and x = 7 but not touching or including these two numerical values.

Next time, please share the four possible answers.