List all the elements of each of the sets given below

Question:

List all the elements of each of the sets given below

$F=\left\{x: x=\in Z\right.$ and $\left.-\frac{1}{2}

 

Solution:

Given x ∈ Z and

$-\frac{1}{2}

It can be seen that

$-\frac{1}{2}=-0.5 \& \frac{13}{2}=6.5$

We know that, Z means Set of integers

$\therefore F=\{0,1,2,3,4,5,6\}$

 

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