24. Solve 16x2-= 0. (A) {0, 4} (B) [–4, 4] (C) (–4, 4) (D) {–4, 4} 25. (a) Solve for x: 5x2– 3x – 2 ≥0. -1,52-1,525x-+≥0 is (A) -415,2(B) -415,2(C) (–∞, –2) (D) -415,226. The solution set of the inequality 5x-<9 is 27. If =-7x512, then the positive value of x is 28. If (x + 5) (x + 9) (x + 3)2<0, then the solution set for the inequality is 29. Which of the following is true? (A) yxyx+≤+(B) ,y(C) yxyx-≥-(D) All the above xyx=y ≠0 30. If 6x + 8 7x – 9 and 4x – 7 <6x – 3, then the range of the values of x is

Triumphant Institute of Management Education Pvt. Ltd.(T.I.M.E.) HO:95B, 2ndFloor, Siddamsetty Complex, Secunderabad – 500 003.Tel : 040–27898195 Fax : 040–27847334 email : [email protected]website : SM1001651/31 Exercise -3(a) Directions for questions 1 to 30:For the Multiple Choice Questions, select the correct alternative from the given choices. For the Non-Multiple Choice Questions, write your answer in the box provided. 1.Find the range of the values of x satisfying the inequalities 3x + 4 ≥-5 and 8x -13 ≤19. 2.Find the range of the values of x satisfying 8 -3x ≤5 and 4x + 5 ≤-7. 3.What are the values of x that satisfy the inequality -x2+ x + 90 > 0? (A) (-∞, -9) ∪(10, ∞) (B) (-10, 9) (C) (-9, 10) (D) (-∞, -10) ∪(9, ∞) 4.What are the values of x that satisfy the inequality 4x2+ x -5 > 0? 5.What are the values of x that satisfy the inequality ,34x3x2-<+-(x ≠-4)? 6.What are the values of x that satisfy the inequality 8x9x6x7x322+--+< 0, (x ∈R x ≠1, 8)? 7.Which of the following is/are true? (A) 3031< 3130(B) 7169> 7070(C) (155)29< (150)30 (D) Both (B) and (C) 8.The minimum value of 6 + |4 -7x| is 9.For what value of x is -|x -3|+ 221maximum? 10.The maximum value of 3 -|2x -1| is 11.Find the range of all values of x if |2x + 3| ≥7.

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