3.5 Solving Inequalities with Variables on Both Sides October 16, 2012.

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Presentation transcript:

3.5 Solving Inequalities with Variables on Both Sides October 16, 2012

Warm-Up x < –3 y < 5

Homework Questions? If you have questions related to the test, come see me during flex.

Objective To solve inequalities that contain variables on both sides

Special Cases

Let’s Practice! Solve each problem in your notes. Think about which placard represents that problem ◦ (no solution, one solution, infinitely many solutions) Hold up your placard when asked

Question 1 Solve the following inequality. 4(y – 1) ≥ 4y + 2 NO SOLUTION!

Question 2 Solve the following inequality. 2y – 1 ≥ 2y – 2 INFINITELY MANY SOLUTIONS!

Question 3 Solve the following inequality. 2y – 11 ≥ 2y + 2 NO SOLUTION!

Question 4 Solve the following inequality. y – 10 ≥ 3y -4 INFINITELY MANY SOLUTIONS!! WHY?!

Question 5 Solve the following inequality. y – 10 ≥ y - 10 INFINITELY MANY SOLUTIONS!!

Question 6

Question 7 Solve the following inequality. t < 5t + 24 Infinitely many solutions!

Classwork You can choose from: ◦ 3.4 Practice Worksheet #1-11 ◦ Or textbook page 200 #s When finished check you answers!

Exit Card 1. How can you tell just by looking at the inequality x> x+1 that it has no solutions? 2. How are inequalities and equations different when comparing their possible solutions? Solve the following inequalities. Do not graph. 3. 2x+5 > -2x x – 2 < 3x -1