Solve the System of Inequalities y>3x+8y<=-1/2x+4

Math
Solve for .
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Move all terms containing to the left 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 . 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 .
Move the negative in front of the fraction.
Solve for .
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Combine and .
Subtract from both sides of the inequality.
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 .
Simplify .
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Simplify each term.
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Multiply .
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Multiply and .
Multiply by .
Cancel the common factor of and .
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Factor out of .
Cancel the common factors.
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Factor out of .
Cancel the common factor.
Rewrite the expression.
Move the negative in front of the fraction.
To write as a fraction with a common denominator, multiply by .
Write each expression with a common denominator of , by multiplying each by an appropriate factor of .
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Multiply and .
Multiply by .
Combine the numerators over the common denominator.
Simplify each term.
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Simplify the numerator.
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Factor out of .
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Factor out of .
Factor out of .
Factor out of .
Multiply by .
Subtract from .
Move to the left of .
Move the negative in front of the fraction.
Find the intersection of and .
Solve the System of Inequalities y>3x+8y<=-1/2x+4

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