ELL Solving Multi-Step Inequalities

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What is an inequality?

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An inequality is a mathematical statement that compares two expressions and shows that one is greater than, less than, greater than or equal to, or less than or equal to the other.

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What does it mean to solve an inequality?

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To solve an inequality means to find all values of the variable that make the inequality true.

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What is the difference between a strict inequality and a non-strict inequality?

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A strict inequality (e.g., <, >) does not include the boundary value, while a non-strict inequality (e.g., ≤, ≥) includes the boundary value.

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How do you isolate a variable in an inequality?

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To isolate a variable in an inequality, perform the same operations on both sides of the inequality, just like in equations, but remember to reverse the inequality sign if you multiply or divide by a negative number.

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What is the solution set of an inequality?

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

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How do you graph an inequality on a number line?

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To graph an inequality on a number line, use an open circle for strict inequalities (<, >) and a closed circle for non-strict inequalities (≤, ≥). Shade the region that represents the solution set.

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