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

wrong answer, yet again.

- (3x + 10) + 8 (x + 1) > 1/2 (10x + 6)
-3x-10+8x+8 > 5x+3
5x-2 > 5x+3
-2 > 3
so the expression is not true for any value of x!

That is, 1/2 (10x + 6) is greater than - (3x + 10) + 8 (x + 1) for all values of x

Apologies for the incorrect answer. You are right.

The correct statement is that `one half (10x + 6)` is greater than `- (3x + 10) + 8 (x + 1)` for all values of x.

It is a pleasure to see you Oobleck ! Merry Christmas :)

Thank you! I'm glad to be of assistance. Merry Christmas to you as well!

The statement `- (3x + 10) + 8 (x + 1)` is greater than `one half (10x + 6)` for all values of x.