2.3 (Day 2) Absolute Value Inequalities

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Presentation transcript:

2.3 (Day 2) Absolute Value Inequalities Today’s Date: 10/6/17

Absolute Value  x > 1 OR x < –1  x < 1 AND x > –1 Flip! & change to (–) greatOR –1 1 Flip! & change to (–) less thAND AND is overlap –1 1

Example 1) Solve & Graph less thAND 3 – 2t < 5 AND 3 – 2t > –5 flip!! flip!! AND is overlap –1 4 Interval Notation: (–1, 4)

Example 2) Solve & Graph greatOR 9 – 2x ≥ 5 OR 9 – 2x ≤ –5 –2x ≥ –4 flip!! flip!! OR 2 7 Interval Notation: (–,2]  [7, )

TWAP always false! always true! Ex 3) greatOR All Real #s (–,) x – 3 ≥ –2 OR x – 3 ≤ 2 x ≥ 1 OR x ≤ 5 the entire # line is shaded  TRUE for all values 1 5 Ex 4) less thAND No Solution t + 5 < –1 AND t + 5 > 1 t < –6 AND t > –4 AND is overlap No overlap! –6 –4

WORD PROBLEM QUIZ ON MONDAY!!! Homework #208 Pg. 121 41 – 59 odd - graph all & WS 1 – 4