Example 3 5y 1 6 or 2y 5 11 5y 5 or 2y 6 or 5y ƒ y 1 or y 36 y 1 The solution is or equivalently 1, 34 ´ 31, 2. Example 4 Solve. 13 3x 1 6 5 13 1 3x 1 1 6 5 1 12 3x 6 6 12 3 3x 3 6 4 x 6 2 6 3 Interval notation: 34, 22 y 3 y 1 y 3 • Solve two or more inequalities joined by and by finding the intersection of their solution sets. • Solve two or more inequalities joined by or by finding the union of their solution sets. Example 2 7x 3 11 and 1 x 6 4.5 7x 14 and x 6 3.5 x 2 and x 7 3.5 x 2 The solution is or equivalently Inequalities of the form a < x < b : The inequality is represented by a 6 x 6 b or, in interval notation, (a, b). 13.5, 2 4. 5x ƒ 3.5 6 x 26 x 7 3.5 5 4 3 2 1 0 1 2 3 4 5 ( 5 4 3 2 1 0 1 2 3 4 5 ( 5 4 3 2 1 0 1 2 3 4 5 54 3 2 1 0 1 2 3 4 5 54 3 2 1 0 1 2 3 4 5 54 3 2 1 0 1 2 3 4 5 ( ( a b 4 2 ( Summary 119
miller_intermediate_algebra_4e_ch1_3
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