Covert in rooster form$A = [x : x \ is \ an \ integer \, -3 < x \leq 4]$.
Given: $A = [x : x \ is \ an \ integer \, -3 < x \leq 4]$.
To do: Convert into rooster form.
Solution:
$A = [x : x \ is \ an \ integer \, -3 < x \leq 4]$.
Here we have to find set of all $x$ such that $x$ is an integer and $x$ is greater than $-3$ but less than or equal to four.
Since $x $must be an integer let us consider all integers.
$........-4,-3,-2,-1,0,1,2,3,4,5.........$
Among integers, only $-2,-1,0,1,2,3,4$ satisfy the condition $-3 < x \leq 4$.
So the set $A={-2,-1,0,1,2,3,4}$.
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