Question

D = x E = x F = x The number 4 is D ∩ (E ∩ F).

1. True
2. False

Answer 1

Answer: 1. True

Explanation:

Given : D = x = { 0, 1 , 2, 3, 4, 5, ..................}

E = x = {4 }

F = x is an even number greater than or equal to 2 and less than 9 ={4 , 6 , 8}

Since intersection of sets contains all the values they have common.

Then, E ∩ F= {4}

Now , D∩ (E ∩ F) = { 0, 1 , 2, 3, 4, 5, ..................} ∩ {4} = {4}

Hence , The number 4 is D ∩ (E ∩ F).

Thus , the given statement is 1 . true.