Expanding the expressions, it is found that Amelia is correct.
The first expression is:
[tex]\frac{1}{2}(11x + 24) = \frac{11x}{2} + 12[/tex]
The second expression is:
[tex]-(\frac{1}{2}x + 5) + 6(x + 8)[/tex]
Expanding, applying the operations, it is:
[tex]-\frac{1}{2}x - 5 + 6x + 48[/tex]
[tex]\frac{12}{2}x - \frac{1}{2}x + 43[/tex]
[tex]\frac{11x}{2} + 43[/tex]
In both expression, the slope(term that multiplies x) is the same, but the linear factor of the second expression is greater, hence:
[tex]\frac{11x}{2} + 43 > \frac{11x}{2} + 12[/tex]
And Amelia is correct.
A similar problem is given at https://brainly.com/question/12166019
