List all the elements of the following sers :

$C = \{ x:x$ is an integer ${\rm{; }}{x^2} \le 4\} $

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$C = \{ x:x{\rm{ }}$ is an integer ${\rm{ }};{x^2} \le 4\} $

It can be seen that

${( - 1)^2} = 1\, \le \,4;{( - 2)^2} = 4\, \le \,4;{( - 3)^2} = 9\, > \,4$

$0^{2}=0 \leq 4$

$1^{2}=1 \leq 4$

$2^{2}=4 \leq 4$

$3^{2}=9>4$

$\therefore C=\{-2,-1,0,1,2\}$

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  • [JEE MAIN 2020]

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