Two Step Inequalities

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What is a two-step inequality?

Back

A two-step inequality is an inequality that requires two operations to isolate the variable. It typically involves addition or subtraction followed by multiplication or division.

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Back

Add 5 to both sides.

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Back

Subtract 16 from both sides and then divide by -4, remembering to reverse the inequality sign.

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Back

x > 4.

Front

What does it mean when an inequality has no solution?

Back

It means that there are no values for the variable that can satisfy the inequality.

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Back

b < 4.

Front

What happens to the inequality sign when you multiply or divide by a negative number?

Back

The inequality sign reverses.

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Back

x > -20.

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Back

Add 7 to both sides.

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Back

x > 3.