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6-2 Solving Inequalities by Multiplication and Division Objective: Students will be able to solve linear inequalities by using multiplication and division.

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Here is a true inequality: 6<14 Now divide both sides by 2. Is the inequality still true? Go back to the original inequality. Now divide both sides by a -2. Is the inequality still true?

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Here is another true inequality: 11>3 Multiply both sides by 3. Is the inequality still true? Now go back to the original inequality. Multiply both sides by a -3. Is the inequality still true?

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What can we deduce from the previous two slides? When dividing or multiplying both sides of an inequality by a negative number, we need to flip the inequality symbol.

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Directions: Solve each inequality. Then graph the solution. 1) 2)

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3)4)

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Try these. 5)6)

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Solving inequalities. An equation. Solve this and graph the answer on a number line: x - 2 = 5.

Solving inequalities. An equation. Solve this and graph the answer on a number line: x - 2 = 5.

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