Question

List all the elements of the set A = { x : x ∈ Z, -
1/2




< x <
11/2 }



​

Answer 1

Since -½<x<11/2

x lies between -½ and 5.5

Elements of the set A are

A = {0, 1, 2, 3, 4, 5}

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Answer 2

Answer:

A $=${$0, 1, 2, 3, 4, 5$}

Step-by-step explanation:

Given that: {${ x : -\frac{1}{2} < x < \frac{11}{2} }$}  and $x$ is an integer.

$-\frac{1}{2} =-0.5$

$\frac{11}{2}=5.5$

Since $x$ is an integer, $x$ can take the values $0,1,2,3,4$ or $5$.

Therefore,

A $=${$0, 1, 2, 3, 4, 5$}

Here, the set is represented in roaster form.

The components (or members) of a set are listed in a row inside the curly brackets in the roster form.

If the set comprises more than one element, a comma is used in a roster notation to indicate the separation of every two elements.

Integer:

An integer is a whole number that can be positive, negative, or zero and is not a fraction.