Solve for x
x\geq 0
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-4x+3\leq -3x+3
Use the distributive property to multiply -3 by x-1.
-4x+3+3x\leq 3
Add 3x to both sides.
-x+3\leq 3
Combine -4x and 3x to get -x.
-x\leq 3-3
Subtract 3 from both sides.
-x\leq 0
Subtract 3 from 3 to get 0.
x\geq 0
Product of two numbers is ≤0 if one is ≥0 and the other is ≤0. Since -1\leq 0, x must be ≥0.
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Limits
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