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10x-12\geq 5
Subtract 16 from 21 to get 5.
10x\geq 5+12
Add 12 to both sides.
10x\geq 17
Add 5 and 12 to get 17.
x\geq \frac{17}{10}
Divide both sides by 10. Since 10 is positive, the inequality direction remains the same.