Lesson 2.5: Inequalities Interval Notation: * An INTERVAL of #'s is the set of all #'s lying between two fixed #'s. Let c & d be real # with c  d: [c,

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Presentation transcript:

Lesson 2.5: Inequalities Interval Notation: * An INTERVAL of #'s is the set of all #'s lying between two fixed #'s. Let c & d be real # with c  d: [c, d]  c  x  d (c, d)  c  x  d [c, d)  c  x  d (c, d]  c  x  d

Ex.#1 Use interval notation to denote the set of all real #'s x that satisfy the given inequality.

Ex.#2 Solve each inequality. Express the solution in interval notation. *Remember: Multiplying or dividing by a negative flips the inequality sign. a) 2x + 4  7 b) 0  5 – 2x  11

These are different quadratics and cubics These are different quadratics and cubics. Give final answers in interval notation. You may use your calculator to find key numbers by graphing or using the QuadForm program. c) x2 – 4x + 3  0

d) x3 – x  0

e) x4 – 5x2 + 4  0

f) g)

p.124 #5-35 (O) NO CALC #42-72 (E) W/CALC HOMEWORK p.124 #5-35 (O) NO CALC #42-72 (E) W/CALC