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# CPM Geometry Inequalities

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This PPT shows how to solve inequalities

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### CPM Geometry Inequalities

1. 1. Inequalities 2 < 5 TRUE What if I add/subtract a number to both sides? +3 +3 TRUE 5 < 8 -12 -12 -7 < -4 TRUE Does adding or subtracting change the Inequality?
2. 2. Inequalities So if we have x + 4 < 10 we can solve by subtracting 4 from each side and the inequality doesn’t change. -4 -4 x < 6
3. 3. Inequalities 2 < 5 TRUE What if I multiply/divide a positive number to both sides? *10 *10 TRUE 20 < 50 10 < 25 TRUE Does multiplying/dividing by a positive number change the inequality? 2 2
4. 4. Inequalities 2 < 5 TRUE What if I multiply/divide a negative number to both sides? *-10 *-10 FALSE -20 < -50 What do we have to do with the inequality sign if we multiply by a negative number? -20 > -50
5. 5. Inequalities What if I multiply/divide a positive number to both sides? TRUE 20 < 50 -10 < -25 FALSE Does dividing by a negative number change the inequality? -2 -2
6. 6. Inequalities What if I multiply/divide a positive number to both sides? TRUE 20 < 50 -2 -2 -10 < -25 FALSE What do we have to do with the inequality sign if we divide by a negative number? -10 > -25
7. 7. Solve the inequality -7x + 8 < 22
8. 8. Solve the inequality & graph -4(3 +x) < 2x +10