Solve for x
x\leq \frac{13}{17}
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8x-40\leq -9\left(x+3\right)
Use the distributive property to multiply 8 by x-5.
8x-40\leq -9x-27
Use the distributive property to multiply -9 by x+3.
8x-40+9x\leq -27
Add 9x to both sides.
17x-40\leq -27
Combine 8x and 9x to get 17x.
17x\leq -27+40
Add 40 to both sides.
17x\leq 13
Add -27 and 40 to get 13.
x\leq \frac{13}{17}
Divide both sides by 17. Since 17 is positive, the inequality direction remains the same.
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\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
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Limits
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