Answer:
The answer to your question is the letter B.
Step-by-step explanation:
Data
[tex]16(\frac{1}{4}x - \frac{1}{2}) > 24 - 2x[/tex]
Expand
[tex]\frac{16}{4}x - \frac{16}{2} > 24 - 2x[/tex]
Add 2x in both sides
[tex]\frac{16}{4}x - \frac{16}{2} + 2x > 24 - 2x + 2x[/tex]
Simplify
[tex]\frac{16}{4}x - \frac{16}{2} + 2x > 24[/tex]
Add 8 in both sides
[tex]4x - 8 + 8 + 2x > 24 + 8[/tex]
Simplify
6x > 32
Divide both sides by 6
6x/6 > 32/6
Simplify
x > 16/3
