In Exercises 1–14, express each interval in set-builder notation and graph the interval on a number line. (- ∞, 5.5)
1. Equations & Inequalities
Linear Inequalities
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In Exercises 15–26, use graphs to find each set. (- 3, 0) ∩ [- 1, 2]
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In Exercises 15–26, use graphs to find each set. (- 3, 0) ⋃ [- 1, 2]
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Solve each inequality. Give the solution set in interval notation. 3(x+5)+1≥5+3x
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In Exercises 15–26, use graphs to find each set. (- ∞, 5) ∩ [1, 8)
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Solve each inequality. Give the solution set in interval notation. 8x-3x+2<2(x+7)
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Solve each inequality. Give the solution set in interval notation. 2-4x+5(x-1)<-6(x-2)
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Solve each inequality. Give the solution set in interval notation. (4x+7)/-3≤2x+5
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In Exercises 15–26, use graphs to find each set. (- ∞, 5) ⋃ [1, 8)
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Solve each inequality. Give the solution set in interval notation. (2x-5)/-8≤1-x
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Solve each inequality. Give the solution set in interval notation. (1/3)x+(2/5)x-(1/2)(x+3)≤1/10
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In Exercises 15–26, use graphs to find each set. [3, ∞) ∩ (6, ∞)
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Solve each inequality. Give the solution set in interval notation. -(2/3)x-(1/6)x+(2/3)(x+1)≤4/3
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In Exercises 15–26, use graphs to find each set. [3, ∞) ⋃ (6, ∞)
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In all exercises, other than exercises with no solution, use interval notation to express solution sets and graph each solution set on a number line. In Exercises 27–50, solve each linear inequality. 5x + 11 < 26
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