Solving 2-Step Inequalities Practice

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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 typically involves addition or subtraction followed by multiplication or division.

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How do you graph the solution of an inequality?

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To graph an inequality, draw a number line, use an open circle for < or > (not including) and a closed circle for ≤ or ≥ (including), and shade the appropriate direction.

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It indicates that x can take any value less than 24.

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What is the difference between < and ≤ in inequalities?

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< means 'less than' and does not include the endpoint, while ≤ means 'less than or equal to' and includes the endpoint.

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What is the first step in solving a two-step inequality?

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The first step is usually to isolate the term with the variable by adding or subtracting a constant.

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What does it mean if an inequality has no solution?

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It means there are no values that can satisfy the inequality, often resulting from contradictory statements.