Answer:
Second number line represents the [X-5]=1.
Explanation:
Given : [X-5]=1 .
To find : Which number line represents the solutions to [X-5]=1.
Solution : We have given that [X-5]=1.
We can se the value x-5 is inside the modulus it may be positive or negative.
So, we will do it by both cases.
1) (x - 5) = 1
On adding by 5 both sides.
x = 1+5 = 6
x = 6.
2) if -(x-5) = 1
remove parenthesis
-x +5 = 1
On subtracting by 5 both side
-x = -4
On dividing by -1 both side
x = 4.
So , x = 4, 6.
Therefore , the second number line represents the [X-5]=1.