alhavannabethy
Answered

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

Verified Answer :

HomertheGenius

D = { ..., - 3, - 2 , - 1 , 0, 1 , 2 , 3 , ...}
E = { 1, 4, 9, 16, 25 }
F = { 21, 23, 25, 27, 29 }
D ∩ E = { 1, 4, 9 , 16, 25 } - False ( A ) 
D ∩ F = {21, 23, 25 , 27, 29 } - False ( B )
E ∩ F = { 25 } - False ( D )
D ∩ ( E ∪ F ) = { 1, 4, 9 , 16, 21, 23, 25, 27, 29 } - False ( E )
Answer:
Correct statement is:
C ) D ∪ ( E ∩ F ) = { all whole numbers }