Question

Represent, the set of numbers between 5 to 50 when they are divided by 8 then the remainder is 3,It by description method, listing method and set builder method
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Answer 1

By descriptive method = Set A is a set of all natural numbers between 5 and 50 which gives remainder 3 when divided by 8.Listing method : A = { 11, 19, 27, 35, 43} and Set builder method : A = { x : x ∈ N, x = 8 c + 3 and 1 < c < 5

We are given that:

Number range 5 - 50

Remainder = 3 when the number is divided by 8

We need to find the sets of numbers between 5 to 50 when they are divided by 8 gives remainder 3 by description method, listing method and set builder method.

Let the set be A

Descriptive Method

Set A is a set of all natural numbers between 5 and 50 which gives remainder 3 when divided by 8.

Listing Method

A = { 11, 19, 27, 35, 43}

Set Builder Method

A = { x : x ∈ N, x = 8 c + 3 and 1 < c < 5

Therefore, we get that, by descriptive method = Set A is a set of all natural numbers between 5 and 50 which gives remainder 3 when divided by 8.Listing method : A = { 11, 19, 27, 35, 43} and Set builder method : A = { x : x ∈ N, x = 8 c + 3 and 1 < c < 5

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