Answer: x>-5
Explanation:
For this problem there are 2 ways to solve for x.
Solution 1
6((x/2)+4)≥9 [distribute 6 to x/2 and 4]
3x+24≥9 [subtract 24 on both sides]
3x≥-15 [divide both sides by 3]
x≥-5
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Solution 2
6((x/2)+4)≥9 [divide both sides by 6]
(x/2)+4≥1.5 [subtract 4 on both sides]
x/2≥-2.5 [multiply 2 on both sides]
x≥-5