Inequalities : Practice Problems

Q.1. Solve the inequality 7x+5/3x-5<5.
A. (1/3, 0)
B. (-∞, 1/3)∪(5/4, ∞)
C. (1/3, 5/4)
D. (-∞, 1/3)∪(5/4, 7)
Q.2. Solve the inequality 3x-8/x+7>8
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A. -64/5, -7
B. -7, 0
C. -7, 7
D. None of these
Q.3. Solve the inequality 1/x+3≤11
A. (-∞ -3) ∪ [-32/11, ∞)
B. (-3, -32/11)
C. (-3, 8)
D. (-15, 0)
Q.4. Solve the inequality 2x-1/x+3 > -5
A. (-∞, -3) ∪ (-2, 0)
B. (-3, -2)
C. (-∞, 5)
D. (-∞, -3) ∪ (-2, ∞)
Q.5. Solve |x + 7| < 11
A. 0 < x < 4
B. – 18 < x < 4
C. x > 4
D. -18 < x < 0
Q.6. Solve |2x + 5| < 14
A. 0 < x < 5
B. -19/2 < x < 0
C. -19/2 < x < 9/2
D. 0 < x < 9/2
Q.7. Solve |5x + 5| - 8 ≤ 17
A. -5 ≤ x ≤ 5
B. -5 ≤ x ≤ 4
C. 0 ≤ x ≤ 4
D. - 6 ≤ x ≤ 4
Q8. Solve the inequality (x+2)(x-7)/(x+3)2≥0
A. (-∞, -3) ∪ (-3, -2) ∪ (7, ∞)
B. (-∞, -3) ∪ (7, ∞)
C. (-3, -2)
D. (7, ∞)
Q9. Solve the inequality (x + 4)2 (x – 3) < 0
A. (3, ∞)
B. (-4, 3)
C. (-∞, -4) ∪ (-4, 3)
D. (-∞, 3)
Q10. Solve the inequality 1/(x+3) ≤ 1/(2x+3)
A. (-3, 2) ∪ (2, ∞)
B. (-5/2), 3)
C. (-∞, -5/2) ∪ (3, 7)
D. (-∞, -3) ∪ (-5/2, -2)
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