Unit 2 - Solving Multistep Inequalities

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What is a multistep inequality?

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A multistep inequality is an inequality that requires more than one step to solve, often involving operations such as addition, subtraction, multiplication, or division.

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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 inverse operations on both sides of the inequality, similar to solving an equation, while remembering to reverse the inequality sign when multiplying or dividing by a negative number.

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What does the inequality symbol '>' mean?

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The symbol '>' means 'greater than'. It indicates that the value on the left side of the symbol is larger than the value on the right side.

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What does the inequality symbol '<' mean?

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The symbol '<' means 'less than'. It indicates that the value on the left side of the symbol is smaller than the value on the right side.

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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 a solution to an inequality on a number line?

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To graph a solution to an inequality on a number line, use an open circle for '>' or '<' (not including the endpoint) and a closed circle for '≥' or '≤' (including the endpoint). Shade the region that represents the solution set.

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What does it mean to combine like terms in an inequality?

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Combining like terms in an inequality means to add or subtract terms that have the same variable and exponent to simplify the expression.

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What is the importance of checking your solution in an inequality?

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Checking your solution in an inequality ensures that the values you found satisfy the original inequality, confirming that your solution is correct.