Question

Y=|x−5|+|x+5|, if x>5

Answer 1

Hello,

Let me try out the solution for you.

Consider the below scenarios for the equation y = |x+5|-|x-5|

Case 1:

when x more than or equal to 5

then y=(x+5)-(x-5) = 10

hence y=10

Case 2:

when -5<x<5

y=(x+5)-(-(x-5)) = 2x

y=2x so y can take 9 values corresponding to x={-4,-3,-2,-1,0,1,2,3,4}

Case 3:

when x less than or equal to -5

y= -(x+5)-(-(x-5))

y=-10

Hence if we combine all 3 cases we get that y can take total of 11 values.

Answer 2

Answer:

2x

Step-by-step explanation:

y=x-5+x+5

x+x, -5+5

2x+0=2x

y=2x