Write all the elements of the set, $A = \{x : x \text{ is an integer and } x^2 \leq 4\}$.

Write all the elements of the set, A = \x : x is an integer and x² ≤ 4\.

Question 23 of 32

A = \{x : x \text{ is an integer and } x^2 \leq 4\}

ChseodishaCHSE Odisha Plus Two (Class 12) Commerce Board 2022Subjective· 3mImportance★★★★★est

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$x^2\le4\Rightarrow -2\le x\le2$ ; integers are $-2,-1,0,1,2$ .

Convert the set-builder form to roster form. The condition $x^2\le 4$ is satisfied when

$-2\le x\le 2.$

Since $x$ must also be an integer, the allowed values are

$x=-2,-1,0,1,2$ …