Question

$3 - \frac{x}{2} + 9 leq 5x - 12$

Explanation:

Step1: Simplify the left side

$3 - \frac{x}{2} + 9 = 12 - \frac{x}{2}$

Step2: Rewrite the inequality

$12 - \frac{x}{2} \leq 3x - 12$

Step3: Multiply by 2 to eliminate fraction

$24 - x \leq 6x - 24$

Step4: Move x terms to one side

$24 + 24 \leq 6x + x$

Step5: Combine like terms

$48 \leq 7x$

Step6: Solve for x

$x \geq \frac{48}{7}$

Answer:

$x \geq \frac{48}{7}$