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# Rational Inequality Apr 20 09

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### Rational Inequality Apr 20 09

1. 1. Inequality
2. 2. Rational Inequality x ­ 1  <0 (x ­ 2)(x + 3) 1. Place critical numbers on a number line Critical Numbers:  the zeros, and the values that make the  inequality undefined.
3. 3. 10 8 9 ­10 ­2 ­1 0 1 2 ­9 ­8 ­7 ­6 ­5 ­4 ­3 3 4 5 6 7
4. 4. Solve:  x2 ­ 2x ­ 8 > _ 0 x ­ 1
5. 5. 10 8 9 ­10 ­2 ­1 0 1 2 ­9 ­8 ­7 ­6 ­5 ­4 ­3 3 4 5 6 7
6. 6. 1 x > x + 2 x ­ 3
7. 7. 10 8 9 ­10 ­2 ­1 0 1 2 ­9 ­8 ­7 ­6 ­5 ­4 ­3 3 4 5 6 7
8. 8. Absolute Value Inequality Graph  y =   x Graph y = x
9. 9. What will graph of  Graph y = x + 5  y =   x + 5    look like?
10. 10. < _ 5 x ­ 2
11. 11. Solve algebraically < _ 5 x ­ 2
12. 12. x +1 _ <3 2
13. 13. x +1 Solve algebraically _ <3 2
14. 14. Exercise 28 questions  6  ­  12