Sets Relations And Functions Question 82
Question: Number of integers satisfying the inequality, $ x^{4}-29x^{2}+100\le 0 $ is
Options:
A) 2
B) 4
C) 6
D) 8
Show Answer
Answer:
Correct Answer: D
Solution:
- [d] we have $ x^{4}-29x^{2}+100\le 0 $
$ \Rightarrow $ $ (x^{2}-4)(x^{2}-25)\le 0 $
$ \Rightarrow $ $ 4\le x^{2}\le 25 $
$ \Rightarrow $
$ x\in [-5,-2]\cup [2,5] $
Integers satisfying above are $ \pm $ 5, $ \pm $ 4, $ \pm $ 3, $ \pm $ 2.
So there are 8 integers.
BETA
