List the elementof the set: C = x : x is an integer, x^2 4 - Vidyadip

Question

List the elementof the set: C = {x : x is an integer, ${x^2} \leq 4$}

✓

Answer

C = {x : x is an integer, ${x^2} \leq 4$}
$\therefore {x^2} \leq 4 \Rightarrow x \leq \pm 2$

$ \Rightarrow - 2 \leq x \leq 2$

$\therefore C = ( - 2, - 1,0,1,2)$

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