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State, If the Following Pair of a Set is Equal Or Not : a = {2, 4, 6, 8} and B = {2n : N ∈ N and N < 5} - Mathematics

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Sum

State, if the following pair of a set is equal or not :

A = {2, 4, 6, 8} and B = {2n : n ∈ N and n < 5}

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Solution

A = {2, 4, 6, 8} and 

B = {2n : n ∈ N and n < 5}

When n = 1, 2n = 2 x 1= 2

When n = 2, 2n = 2 x 2= 4

When n = 3, 2n = 2 x 3= 6

When n = 4, 2n = 2 x 4= 8

∴ B = {2, 4, 6, 8}

Now we see that elements of sets A and B are the same (identical)

∴  Sets A and B are equal.

Concept: Types of Sets
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APPEARS IN

Selina Concise Mathematics Class 8 ICSE
Chapter 6 Sets
Exercise 6 (B) | Q 8.1 | Page 67
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