Solve the System of Inequalities x+y<1x-y>2

Solve the System of Inequalities x+y<1x-y>2
Solve for .
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Multiply by .
Move all terms containing to the left side of the inequality.
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Add to both sides of the inequality.
Add and .
Move all terms not containing to the right side of the inequality.
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Subtract from both sides of the inequality.
Subtract from .
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 .
Divide by .
Solve for .
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Multiply by .
Subtract from both sides of the inequality.
Multiply each term in by
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Multiply each term in by . When multiplying or dividing both sides of an inequality by a negative value, flip the direction of the inequality sign.
Multiply .
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Multiply by .
Multiply by .
Simplify each term.
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Multiply by .
Multiply .
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Multiply by .
Multiply by .
Find the intersection of and .
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