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4-x\geq \frac{24}{6}
Divide both sides by 6. Since 6 is positive, the inequality direction remains the same.
4-x\geq 4
Divide 24 by 6 to get 4.
-x\geq 4-4
Subtract 4 from both sides.
-x\geq 0
Subtract 4 from 4 to get 0.
x\leq 0
Product of two numbers is ≥0 if both are ≥0 or both are ≤0. Since -1\leq 0, x must be ≤0.