CAT 1995 — QA Question 33
Solving InequalitiesEasy
What is the value of m which satisfies 3m2 – 21m + 30 < 0?
Answer & solution
Correct answer: 2 < m < 5
- A
m < 2 or m > 5
- B
m > 2
2 < m < 5
- D
Both (a) and (c)
Solution
3m2 – 21m + 30 < 0
∴ m2 – 7m + 10 < 0 ⇒ (m – 5)(m – 2) < 0.
⇒ (m – 5) < 0 and (m – 2) > 0
∴ 2 < m < 5.
Hence, option (c).