Two-Step Inequalities with Fractions

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What is a two-step inequality?

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

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What does the term 'isolate the variable' mean in solving inequalities?

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Isolating the variable means manipulating the inequality so that the variable is on one side and all other terms are on the opposite side.

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What is the importance of flipping the inequality sign when multiplying or dividing by a negative number?

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Flipping the inequality sign ensures that the relationship between the two sides of the inequality remains true.

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How do you check the solution of an inequality?

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Substitute the solution back into the original inequality to see if it holds true.