Sets Relations And Functions Question 34
Question: Which of the following sets is a finite set?
Options:
A) $A=\{x: x \in Z$ and $x^2-5 x+6=0\}$
B) $B=\{x: x \in Z$ and $x^2$ is even $\}$
C) $D=\{x: x \in Z$ and $x>-10\}$
D) All of these
Show Answer
Answer:
Correct Answer: A
Solution:
- [a]
a. $ A=\{x:x\in Z \ and \ x^{2}-5x+6=0\} $ $ =\{2,3\} $
So, A is a finite set
b. $ B=\{x:x\in Z \ and \ x^{2} is \ even\} $
$ =\{…,-6,-4,-2,0,2,4,6…\}$
Clearly, B is an infinite set.
c. $ D=\{x:x\in Z \ and \ x>-10\} $
$ =\{-9,-8,-7,…\} $
Clearly, D is an infinite set.
BETA
