Question

Which number line represents the solutions to |x – 5| = 1? A number line from negative 7 to 7 in increments of 1. Two points, one at negative 6 and one at negative 4. A number line from negative 7 to 7 in increments of 1. Two points, one at 4 and one at 6. A number line from negative 7 to 7 in increments of 1. Two points, one at negative 5 and one at 1. A number line from negative 7 to 7 in increments of 1. Two points, one at negative 1 and one at 5.

Answer 1

It would be the second graph (for edge)

Answer 2

Two points, one at 4 and one at 6.

Explanation:

Equations with absolute value

The absolute value of a number x denoted as |x| is a number with the same magnitude with a positive sign. When we know the result of an absolute value, we cannot know if the original number is positive or negative.

If |x| = a, a>=0, then x=a or x=-a

The equation to solve is |x – 5| = 1. If we apply the above criteria, then

x-5=1 or x-5=-1

Which gives us two possible solutions for x

x=6

x=4

The correct answer is

Two points, one at 4 and one at 6.