1. Rational Inequalities Page 5 #2: Steps: 1.Get 0 on one side of inequality. 2.Get a common denominator and combine terms 3.Find Critical Values for numerator and denominator 4.Graph solutions on number line 5.Test each interval on number line CV for Numerator CV for Denominator Plot CV on number line Circle for this CV depends upon the inequality! Circle for this CV is always open Now we test each interval to determine where to shade! Just pick a number in the interval and test it in the original equation. Find critical values by setting num and denom = 0 -6: 3.17>3 - TRUE -1: -1>3 - FALSE 1: 9>3 - TRUE OR

2. #3: Find critical values by setting num and denom = 0 CV for Numerator CV for Denominator Page 5 Plot CV on number line Now we test each interval to determine where to shade! Just pick a number in the interval and test it in the original equation. -2: 11 2 - FALSE 0: -5 2 - TRUE 8:2.1 2 - FALSE

3. #6: Page 5 CV for Numerator CV for Denominator Plot CV on number line Circles for these CV’s depends upon the inequality! Circles for these CV’s are always open Now we test each interval to determine where to shade! Just pick a number in the interval and test it in the original equation. -5: 2.3 0 - FALSE-3: -.7 0 - TRUE0:.25 0 - FALSE3: -.7 0 - TRUE5: 2.3 0 - FALSE OR

4. #1: CV for Numerator CV for Denominator Plot CV on number line Open circle because of inequality Always open circle b/c it’s CV for denom -1:.5 < 0 - FALSE 1: -1 < 0 - TRUE 4: 8 < 0 - FALSE Page 5

5. #4: CV for Numerator CV for Denominator Plot CV on number line Open circle because of inequality Always open circle b/c it’s CV for denom -4: 5 > 2 - TRUE -2: 1 > 2 - FALSE 0: 2.3 > 2 - TRUE OR Page 5

6. #5: CV for Numerator CV for Denominator Closed circle because of inequality Always open circle b/c it’s CV for denom Plot CV on number line -5: -.8 0 - TRUE0:.13 0 - FALSE3: -.1 0 - TRUE5:.33 0 - FALSE OR Page 5

7. Homework Page 6 #2,6,10

8. #2: Page 6 CV for Numerator Open circle because of inequality CV for Denominator Plot CV on number line Always open circle b/c it’s CV for denom -8: 2.5 > 3 - FALSE -5: 7 > 3 - TRUE 0: -.5 > 3 - FALSE

9. #6: Page 6 CV for Numerator Open circle because of inequality CV for Denominator Always open circle b/c it’s CV for denom Plot CV on number line -8: 4.3 < 7 - TRUE -6: 15 < 7 - FALSE 0: -4.2 < 7 - TRUE OR

10. #10: CV for Numerator Closed circle because of inequality CV for Denominator Always open circle b/c it’s CV for denom Page 6 Plot CV on number line -5: 13 1 - TRUE 0:.5 1 - FALSE 2: 1.3 1 - TRUE OR