Solve the System of Inequalities y>x-4y<-|x-2|

Math
Solve for .
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Move all terms containing to the left side of the inequality.
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Add to both sides of the inequality.
Add and .
Divide each term by and simplify.
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Divide each term in by .
Cancel the common factor of .
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Cancel the common factor.
Divide by .
Solve for .
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Subtract from both sides of the inequality.
Divide each term by and simplify.
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Divide each term in by . When multiplying or dividing both sides of an inequality by a negative value, flip the direction of the inequality sign.
Cancel the common factor of .
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Cancel the common factor.
Divide by .
Simplify .
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Move the negative in front of the fraction.
Factor out of .
Factor out of .
Factor out of .
Simplify the expression.
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Rewrite as .
Move the negative in front of the fraction.
Multiply by .
Multiply by .
Find the intersection of and .
and
Solve the System of Inequalities y>x-4y<-|x-2|

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