Finite Math Examples

Find the Intersection of the Inequalities y>-x-3 , y>2x
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Step 1
Simplify the first inequality.
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Step 1.1
Rewrite so is on the left side of the inequality.
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Step 1.2
Add to both sides of the inequality.
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Step 1.3
Divide each term in by and simplify.
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Step 1.3.1
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.
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Step 1.3.2
Simplify the left side.
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Step 1.3.2.1
Dividing two negative values results in a positive value.
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Step 1.3.2.2
Divide by .
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Step 1.3.3
Simplify the right side.
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Step 1.3.3.1
Simplify each term.
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Step 1.3.3.1.1
Move the negative one from the denominator of .
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Step 1.3.3.1.2
Rewrite as .
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Step 1.3.3.1.3
Divide by .
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Step 2
Simplify the second inequality.
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Step 2.1
Rewrite so is on the left side of the inequality.
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Step 2.2
Divide each term in by and simplify.
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Step 2.2.1
Divide each term in by .
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Step 2.2.2
Simplify the left side.
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Step 2.2.2.1
Cancel the common factor of .
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Step 2.2.2.1.1
Cancel the common factor.
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Step 2.2.2.1.2
Divide by .
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Step 3