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)
Answer & Explanation
Sol : Option B
The critical points are x = 1/3, 5/4
Plot these points on the number line,
[image]
The given inequality is positive, the solution is x ε (-∞, 1/3)∪(5/4, ∞)
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
Answer & Explanation
Sol : Option B
[image]
The solution is x ε (-64/5, -7)
Q.3. Solve the inequality 1/x+3≤11
A. (-∞ -3) ∪ [-32/11, ∞)
B. (-3, -32/11)
C. (-3, 8)
D. (-15, 0)
Answer & Explanation
Sol : Option A
The critical points are x = -3, -32/11
[image]
The solution is (-∞, -3) ∪ (-32/11, ∞)
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, ∞)
Answer & Explanation
Sol : Option A2 ≥0
Q9. Solve the inequality (x + 4)2 (x – 3) < 0
A. (3, ∞)
B. (-4, 3)
C. (-∞, -4) ∪ (-4, 3)
D. (-∞, 3)
Answer & Explanation
Sol : Option C2 (x – 3) < 0