A) \[A=\{x:x\in Z\,\,and\,\,{{x}^{2}}-5x+6=0\}\]
B) \[B=\{x:x\in Z\,\,and\,\,{{x}^{2}}\,is\,even\}\]
C) \[D=\{x:x\in Z\,\,and\,\,x>-10\}\]
D) All of these
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.
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