Section 1.2 Linear Inequalities

# The properties of inequalities provide a way to

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Unformatted text preview: properties of inequalities provide a way to transform one inequality into an equivalent inequality. Example Solve the inequalities. 1 −5(x + 2) − 3 < 3x + 11. 2 9(w − 1) − 3w ≥ −2(5 − 3w ) + 1. Outline Inequalities Properties of Inequalities Compound Inequalities Applications Unions and Intersections of Sets Deﬁnition Let A and B be sets. 1 The union of A and B is the set A ∪ B consisting of elements a such that a ∈ A or a ∈ B . 2 The intersection of A and B is the set A ∩ B consisting of elements a such that a ∈ A and a ∈ B . Example Find the union and intersection of the sets A = {−3, −2, −1, 0, 1, 2, 3, 4} and B = {−4, −2, 0, 2, 4}. Outline Inequalities Properties of Inequalities Compound Inequalities Applications Solving Compound Inequalities Often we wish to solve two o...
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