Final answer:
To solve the inequality 6(x/2 + 4) >= 9, distribute the 6, subtract 24 from both sides, divide by 3, resulting in x being greater than or equal to -5.
Step-by-step explanation:
To solve the inequality 6(x/2 + 4) >= 9, we begin by distributing the 6 to both terms inside the parentheses:
6(x/2) + 6(4) >= 9
3x + 24 >= 9
Next, we subtract 24 from both sides of the inequality:
3x >= 9 - 24
3x >= -15
Finally, we divide both sides by 3 to solve for x:
x >= -15 / 3
x >= -5
The solution to the inequality is x is greater than or equal to -5.