In Exercises 1526 use graphs to find each set 30 Intersectio

In Exercises 15-26, use graphs to find each set. (-3,0) Intersection [-1,2] (-4,0) Intersection [-2,1] (-3,0) Union [-1,2] (-4,0) Union [-2,1] (-infinity,5) Intersection [l,8) (-infinity,6) Intersection [2,9) (-infinity,5) Union [1,8) (-infinity,6) Union [2,9) [3,infinity) Intersection (6,infinity) [2, infinity) Intersection (4,infinity) In all exercises, other than phi. use interval notation to express solution sets and graph each solution set on a number line. In Exercises 27-48, solve each linear inequality. 5x + 11 4 7 - 4/5 x

Solution

41. We have x/4 – 3/2    x/2 + 1 or x/2 + 1 x/4 – 3/2 or, x/2 –x/4 -1 -3/2 or x/4 -5/2 or, on multiplying both the sides by 4, x -10 . Thus, the answer is x -10.