Question

N

Which number line represents the solutions to [x - 5] = 1?
-7 -6 -5
-4
-3
--2
-1
0
1
2
3
4
5
6
7
+
--
-7
-5
-4
-3
-2 -1
0
1
2
3
4
6
7
-7 -6
-5
-4
-3
-2 -1
0
1
2
3
4
5
6
7
H
-7 -6 -5
-4 -3 -2 -1 0 1
2
3
4
5
6
7

Answer 1

x = 4 and x = 6

Explanation:

There are two solutions to an absolute value equation.

If |x - 5| = 1, then

x - 5 = -1 and

x - 5 = +1.

1. Solve x - 5 = -1

Add 5 to each side.

x = 4

2. Solve x - 5 = 1

Add 5 to each side.

x = 6

The solutions are x = 4 and x = 6.

3. Number line

The number line would have markers at 4 and 6.

It should look like the image below.