Question

Select the statements that are true based on the following given information.
D = {x | x is a whole number}
E = {x | x is a perfect square < 36}
F = {x | x is an even number between 20 and 30}


The expression D∩E is {1, 4, 9, 16}.
The expression D∩F is {12, 14, 16, 18}.

D∪(E∩F) is {all whole numbers}.

(E∩F) is the empty set.

The expression D∩(E∩F) is 25.

Answer 1

Write the sets with their elements,
\[D=\{1,2,3,\ldots\}\\
E=\{1,4,9,16,25\}\\
F=\{20,22,24,26,28,30\}\]The intersection takes elements that are in both sets, so only the first and fourth statements are true.