Answers 6. (, 0) 7. (7,5 Finding the Union and Intersection of Two Intervals Example 3 Find the union or intersection as indicated.Write the answer in interval notation. a. 1 , 22 ´ 34, 32 b. 13, 22 ¨ 4, 32 Solution: a. To find the union, graph each interval separately.The union is the collection of real numbers that lie in the first interval, the second interval, or both intervals. 1, 22 34, 32 The union consists of all real numbers in the red interval along with the real numbers in the blue interval: 1, 22 ´ 34, 32 ) 5 4 3 2 1 0 1 2 3 4 5 The union is b. 1, 22 34, 32 1, 32 The intersection is the “overlap” of the two intervals: 4,2). 1, 32. 1, 22 34, 32 ) The intersection is 4,2). Skill Practice Find the union or intersection.Write the answer in interval notation. 6. 7. 1 1, 54 17, 02 , 54 ´ 17, 02 2. Solving Compound Inequalities: And The solution to two inequalities joined by the word and is the intersection of their solution sets. Solving a Compound Inequality: And Step 1 Solve and graph each inequality separately. Step 2 If the inequalities are joined by the word and, find the intersection of the two solution sets. Step 3 Express the solution set in interval notation or in set-builder notation. ) 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 ) 5 4 3 2 1 0 1 2 3 4 5 ) 5 4 3 2 1 0 1 2 3 4 5 Section 1.5 Compound Inequalities 87
miller_intermediate_algebra_4e_ch1_3
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