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 $A={-2,-1,0,1,2,3,4}$.

Tutorialspoint

Updated on: 10-Oct-2022

25 Views

Kickstart Your Career

Get certified by completing the course

Get Started