# Solve the System of Inequalities y>x-4y<-|x-2| Solve for .
Move all terms containing to the left side of the inequality.
Add to both sides of the inequality.
Divide each term by and simplify.
Divide each term in by .
Cancel the common factor of .
Cancel the common factor.
Divide by .
Solve for .
Subtract from both sides of the inequality.
Divide each term by and simplify.
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 .
Cancel the common factor.
Divide by .
Simplify .
Move the negative in front of the fraction.
Factor out of .
Factor out of .
Factor out of .
Simplify the expression.
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|   ## Download our App from the store

### Create a High Performed UI/UX Design from a Silicon Valley.  Scroll to top