Question

set of all integers between 1/2 and 9/2
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Answer 1

Answer:

Hey buddy your required answer is given below .

Step-by-step explanation:

All integers between 1 / 2 and 9 / 2 are

= 2 / 2 , 3 / 2 , 4 / 2 , 5 / 2 , 6 / 2 , 7 / 2 , 8 / 2

So , the set will be

= { 2 / 2 , 3 / 2 , 4 / 2 , 5 / 2 , 6 / 2 , 7 / 2 , 8 / 2 }

Answer 2

SET OF INTEGERS

Let us first understand what is a set.

Set :- A set is a collection of objects or elements. They are denoted by capitalized letters like A,B,E etc.

Sets can be represented in two types :-

1. Set-Builder Form
2. Roster Form

Elements of the set are placed between curly braces {}.

Eg.:- Set of natural numbers up to 10. Let us denote it by N.

N = {1,2,3,4,5,6,7,8,9,10}

Now, back to the question.

Fractions lying between $\frac{1}{2}\ and\ \frac{9}{2}\ are :-$

$\frac{2}{2}\ , \frac{3}{2}\ , \frac{4}{2}\ , \frac{5}{2}\ , \frac{6}{2}\ , \frac{7}{2}\ , \frac{8}{2}$

Now, the question says that the set is of integers and not fractions. So, simplify the fractions to integers. Possible simplifications are as under :-

$\frac{2}{2} = 1\\\\\frac{4}{2} = 2\\\\\frac{6}{2} = 3\\\\\frac{8}{2} = 4$

Therefore, the set will be A = { 1, 2, 3, 4 }

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