Question

Hank needs to compare two expressions 1/2(10x + 6) and -(3x +10)+8(x+1)
. He needs to know if one expression is greater than the other for all values of x. Which statement accurately describes the relationship between the two expressions?
Responses

The value of 1/2(10x + 6) is always less than the value of -(3x+10)+8(x+1)

The value of 1/2 (10x + 6) is always less than the value of -(3x+10)+8(x+1)

The value of 1/2 (10x + 6) is always greater than the value of -(3x+10)+8(x+1)

The value of 1/2 (10x + 6) is always greater than the value of -(3x+10)+8(x+1)

The value of 1/2 (10x + 6) may be less than or greater than the value of -(3x+10)+8(x+1) depending on which number you choose for x.

The value of 1/2 (10x + 6) may be less than or greater than the value of -(3x+10)+8(x+1)

The value of 1/2 (10x + 6) is always equal to the value of -(3x+10)+8(x+1)

Answer 1

The correct response is:

The value of 1/2 (10x + 6) may be less than or greater than the value of -(3x+10)+8(x+1) depending on which number you choose for x.