Question

If A = { x: x = 2n - 1, n€ W, n< 3} .Find the subsets of A​​​

Answer 1

Answer:

{-1, 1,3}

Step-by-step explanation:

It is given that n<3, so n should be smaller than 3

( 3 should not be included) .

It is given the n€ W, it means n should be taken from Whole Numbers, Whole Numbers starts from 0 and ends to infinity.

So the possible values for n is 0 , 1 and 2 only.

As given that x = 2n - 1,

x = 2(0) - 1 = 0 - 1 = -1

x = 2(1) - 1 = 2 - 1 = 1

x = 2(2) - 1 = 4 - 1 = 3

Hence the Subset of A is {-1, 1,3} .

Answer 2

Answer:

The given sets are:

A={x:x∈N}={1,2,3,4}

B={x:x=2n,n∈N}={2,4,6,8,10}

C={x:x=2n−1,n∈N}={1,3,5,7,9}

D={x:x is a prime number}={2,3,5,7,11,13}

∴ A∩B={1,2,3,4}∩{2,4,6,8}

={2,4,6,8}

=B

Hence

A∩B=B

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