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

Back

The inequality sign flips direction.

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Define the term 'solution set' in the context of inequalities.

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The solution set is the set of all values that satisfy the inequality.

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It means that x can be -3 or any number greater than -3.

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Draw a number line, place an open circle at -15, and shade to the left to indicate all numbers less than -15.

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What is the difference between strict and non-strict inequalities?

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Strict inequalities (like < and >) do not include the boundary point, while non-strict inequalities (like ≤ and ≥) do include the boundary point.

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How do you check if a number is a solution to an inequality?

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Substitute the number into the inequality and see if the statement is true.

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