Question

Which number line represents the solutions to |x – 5| = 1?

Answer 1

6
X=1+5
To solve make x the subject
When you move a number to the opposite side you change the signs, so a negative would be a positive at the other side

Answer 2

The correct option is 2.

Explanation:

The given equation is

`|x-5|=1`

`x-5=\pm 1`
`[\because |x|=a\Rightarrow x=\pm a]`

Case 1:

`x-5=1`

Add 5 on both the sides.

`x-5+5=1+5`

`x=6`

The value of x is 6.

Case 1:

`x-5=-1`

Add 5 on both the sides.

`x-5+5=-1+5`

`x=4`

The value of x is 4.

Since the value of x are 4 and 6, which is represented by graph 2. Therefore option 2 is correct.