Question
Solve the inequality: (3x – 4)/(x + 2) > 1
Solution
ATQ,
(3x – 4)/(x + 2) – 1 > 0 [(3x – 4) – (x + 2)]/(x + 2) > 0 (2x – 6)/(x + 2) > 0 2(x – 3)/(x + 2) > 0 Critical points: –2, 3 Sign analysis → positive in (–∞, –2) and (3, ∞) Hence x < –2 or x > 3
More Quant Miscellaneous Questions
- A solution contains vinegar and water in equal proportions. If this solution is mixed with another solution of water in the ratio 1:4, what is the resultin...
- Two pipes A and B can fill a tank in 15 hours and 20 hours, respectively. Another pipe C can empty the tank in 30 hours. If all three pipes are opened toge...
- The average age of a group of five friends is 78 years. If a friend, aged 48 years, is replaced by another friend, then the average age of each friend in t...
- Question 4
- If P is the amount invested at 5% p.a compounded half yearly for 2 years, what would be the amount received at the end of 2 years?
- If total lakes in X are 25% more than total parks in P and total parks in X are 50% more than total parks in R, then find total parks and lakes in X.
- How many perfect square factors does 512 have?
- 240.11% of 145.09 – 169.912% of 159.89 + 13.12 × √402 = ?
- Six women and two men can complete a task in 10 days. If the efficiency of a woman is twice that of a man, how many days will it take for eight women and f...
- Sum of the present ages of A, B, C and D is 64 years. After 4 years ratio of their ages is 6:5:3:2. What is C’s present age?
