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x-3\geq \frac{16}{-4}
Divide both sides by -4. Since -4 is negative, the inequality direction is changed.
x-3\geq -4
Divide 16 by -4 to get -4.
x\geq -4+3
Add 3 to both sides.
x\geq -1
Add -4 and 3 to get -1.