Question

D = {x|x is a whole number} E = {x|x is a perfect square between 1 and 9} F = {x|x is an even number greater than or equal to 2 and less than 9} The number 4 is D ∩ (E ∩ F).

1. True
2. False

Answer 1

Answer: 1. True

Step-by-step explanation:

Given : D = {x|x is a whole number}  = { 0, 1 , 2, 3, 4, 5, ..................}

E = {x|x is a perfect square between 1 and 9} = {4 }

F = {x|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.