Answer:
Amelia is correct
Step-by-step explanation:
(1/2)(11x + 24) = (1/2)(11x) + (1/2)(24) = 5.5x + 12
-(1/2)(x + 5) + 6(x + 8) = (-1/2)(x) + (-1/2)(5) + 6x + 6(8) = -0.5x - 2.5 + 6x + 48 =
= 5.5x + 45.5
We need to compare 5.5x + 12 to 5.5x + 45.5
Subtract 5.5x from both expressions.
12 and 45.5
Since 12 < 45.5, then
(1/2)(11x + 24) < -(1/2)(x + 5) + 6(x + 8)
Answer: Amelia is correct
