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Section 6.2: Solving Inequalities Using Multiplication and Division

Section 6.2: Solving Inequalities Using Multiplication and Division. Activity 4 ____ 3. Complete the table with <, > or = What happens to the inequality symbol when you multiply each side by a positive number

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Section 6.2: Solving Inequalities Using Multiplication and Division

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  1. Section 6.2: Solving Inequalities Using Multiplication and Division

  2. Activity 4 ____ 3 Complete the table with <, > or = What happens to the inequality symbol when you multiply each side by a positive number What happens to an inequality symbol when you multiply each side by 0 What happens to an inequality symbol when you multiply each side by a negative number

  3. Now try solving these inequalities • 3x > 15 • 4x < 12 • -3x > 15 • -4x < 12 After you and your table partner solve, pick a number to see if it is a solution. How is this like the first activity you and your table partner did.

  4. Solving inequalities: Use Multiplication and Division *Remember – Solve the inequality by getting the variable by itself. Use inverse operations!!!* - Inverse operation of multiplication is division - Inverse operation of division is multiplication

  5. Second reminder!!! When graphing inequalities… < , > means open circle < ,> means closed circle

  6. Important Note!!! *Note – You must reverse the direction of the inequality sign when you multiply or divide each side by a negative number. Examples when you should reverse the inequality sign: (1) -2x > 8 (2)

  7. Examples: Directions: Solve each inequality and graph the solution on a number line. (1) 8x > 16 (2) -4x < 12 (3) (4)

  8. Try these: Directions: Solve each inequality and graph the solution on a number line. (1) 3x > 9 (2) -5x < 20 (3) (4)

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