Question

Let A = {1,3,5,7, ...}, B = {X|X = 2n-1,n €N} , and C = {xlx = 4n -1,n€ N}.
Prove that (1) A=B
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Answer 1

Answer:

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Answer 2

Answer:

in sat A the elements are 1,3,5,7,.....

and in set B the elements are in the form of

2n-1,n belongs to N

so let n=1

• 2n-1=2(1)-1=1

let n=2

• 2(2)-1=3

let n=3

• 2(3)-1=5

let n=4

• 2(4)-1=7

so in set B the elements are 1,3,5,7,......

so set A&B are equal sets

hence proved

that {A}={B}