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

Answer:

The correct option is 2.

Step-by-step 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.