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Question
y\leq -\frac{5}{2}x+2
Solve the inequality
x\leq \frac{-2y+4}{5}
Evaluate
y\leq -\frac{5}{2}x+2
Swap the sides of the inequality
-\frac{5}{2}x+2\geq y
Move the constant to the right side
-\frac{5}{2}x\geq y-2
Change the signs on both sides of the inequality and flip the inequality sign
\frac{5}{2}x\leq -y+2
Multiply by the reciprocal
\frac{5}{2}x\times \frac{2}{5}\leq \left(-y+2\right)\times \frac{2}{5}
Multiply
x\leq \left(-y+2\right)\times \frac{2}{5}
Solution
More Steps
Evaluate
\left(-y+2\right)\times \frac{2}{5}
Rewrite the expression
-\left(y-2\right)\times \frac{2}{5}
Multiply the numbers
-\frac{\left(y-2\right)\times 2}{5}
Multiply the numbers
More Steps
Evaluate
\left(y-2\right)\times 2
Apply the distributive property
y\times 2-2\times 2
Use the commutative property to reorder the terms
2y-2\times 2
Multiply the numbers
2y-4
-\frac{2y-4}{5}
Calculate the product
\frac{-2y+4}{5}
x\leq \frac{-2y+4}{5}
Show Solutions
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