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-11c+10+20c\geq 10
Add 20c to both sides.
9c+10\geq 10
Combine -11c and 20c to get 9c.
9c\geq 10-10
Subtract 10 from both sides.
9c\geq 0
Subtract 10 from 10 to get 0.
c\geq 0
Product of two numbers is ≥0 if both are ≥0 or both are ≤0. Since 9\geq 0, c must be ≥0.