Question

D = x

E = x

F = x



The number 4 is D ∩ (E ∩ F).

True
False

D = x is a whole number

E = x is a perfect square between 1 and 9

F = x is an even number greater than or equal to 2 and less than 9



D ∩ F is {4, 6}.

True
False

Answer 1

Answer:
The statement "The number 4 is D ∩ (E ∩ F)" is true.

Explanation:

Firstly, let's find E ∩ F:

E = {1, 4, 9}

F = {2, 4, 6, 8}

E ∩ F = {4}

Now we can find D ∩ (E ∩ F):

D = {..., -2, -1, 0, 1, 2, 3, 4, 5, 6, ...}

D ∩ (E ∩ F) = {4}

Therefore, the statement is true.

The statement "D ∩ F is {4, 6}" is false.

Let's find D ∩ F:

D = {..., -2, -1, 0, 1, 2, 3, 4, 5, 6, ...}

F = {2, 4, 6, 8}

D ∩ F = {2, 4, 6}

Therefore, the statement is false.