Solve for x
x\geq 9
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x+6\leq 5x-30
Multiply both sides of the equation by 5. Since 5 is positive, the inequality direction remains the same.
x+6-5x\leq -30
Subtract 5x from both sides.
-4x+6\leq -30
Combine x and -5x to get -4x.
-4x\leq -30-6
Subtract 6 from both sides.
-4x\leq -36
Subtract 6 from -30 to get -36.
x\geq \frac{-36}{-4}
Divide both sides by -4. Since -4 is negative, the inequality direction is changed.
x\geq 9
Divide -36 by -4 to get 9.
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Limits
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