Solve and Graph Two-Step Inequalities

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What is a two-step inequality?

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

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How do you graph the solution to an inequality?

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To graph an inequality, first solve it for the variable, then plot the solution on a number line. Use an open circle for < or > and a closed circle for ≤ or ≥.

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It represents all numbers greater than 5, shown with an open circle at 5 and a line extending to the right.

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What does it mean to isolate the variable in an inequality?

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Isolating the variable means to get the variable by itself on one side of the inequality sign.

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What is the difference between an open circle and a closed circle on a number line?

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An open circle indicates that the number is not included (for < or >), while a closed circle indicates that the number is included (for ≤ or ≥).