Question

Given D = x is a whole number. E = x . F = x . 1.The expression D∪F means (64 and 81) OR (all whole numbers). 2.The expression D∩F means (16,22,24,18) OR (12,14,16,18). 3.The expression D∩E means (all whole numbers) OR (64,81). 4.The expression E∩F means (all whole numbers) OR (empty set). 5.The expression D∩(E∪F) means (empty set) OR (81,64,12,14,16,18)

Answer 1

Given

D = x is a whole number

E = x

F = x is an even number between 10 and 20

The expression D ∪ F means

- all whole numbers

The expression D ∩ F means

- 12, 14, 16, 18

The expression D ∩ E means

- 64, 81

The expression E ∩ F means

- the empty set

The expression D ∩ (E ∪ F) means

- 81, 64, 12, 14, 16, 18

Hope this helps!

Answer 2

DUF is all whole numbers because the definition of a union is the set that contains both sets.

DNF means (16,22,24,18) because an intersection is the common numbers between the sets

DNE means (64,81)

ENF is an empty set

DN(EUF)= (81,64,12,14,16,18)

Good luck I hate sets and set proofs