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-\frac{1}{2}a-4\geq -4
Fraction \frac{-1}{2} can be rewritten as -\frac{1}{2} by extracting the negative sign.
-\frac{1}{2}a\geq -4+4
Add 4 to both sides.
-\frac{1}{2}a\geq 0
Add -4 and 4 to get 0.
a\leq 0
Product of two numbers is ≥0 if both are ≥0 or both are ≤0. Since -\frac{1}{2}\leq 0, a must be ≤0.