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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 - PowerPoint PPT Presentation
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Section 6.2: Solving Section 6.2: Solving Inequalities Using Inequalities Using Multiplication and DivisionMultiplication and Division
Activity 4 ____ 3Activity 4 ____ 3Complete 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
4 * 3 1 * 3
4 * 2 1 * 2
4 * 1 1 * 1
4 * 0 1 * 0
4 * -1 1 * -1
4 * -2 1 * -2
4 * -3 1 * -3
Now try solving these Now try solving these inequalitiesinequalities -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.
Solving inequalities: Use Solving inequalities: Use Multiplication and DivisionMultiplication 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
Second reminder!!!Second reminder!!!
When graphing inequalities…< , > means open circle
< ,> means closed circle
Important Note!!!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) 2
3
x
Examples:Examples:
Directions: Solve each inequality and graph the solution on a number line.
(1) 8x > 16 (2) -4x < 12
(3) (4) 27
x 4
3
2x
Try these:Try these:
Directions: Solve each inequality and graph the solution on a number line.
(1) 3x > 9 (2) -5x < 20
(3) (4) 23
x
34
3x