Select the statements that are true based on the following given information. D = x E = x is a perfect square < 36 F = x The expression D ∪ E = E. E ∪ (D ∩ F) is {25}. F ⊂…

Question

Select the statements that are true based on the following given information. D = x is a whole number E = x is a perfect square < 36 F = x The expression D ∪ E = E. E ∪ (D ∩ F) is {25}. F ⊂ D (E ∩ F) is the empty set. Set E is infinite.

Answer 1

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

E = x = { 0, 1, 4, 9, 16, 25}

F = x = { 22, 24, 26, 28}

`D\ \cup\ E=D\\eq E-FALSE\\\\E\ \cup\ (D\ \cap\ F)=E\ \cup\ F=\{0, 1, 4, 9, 16, 22, 24, 25, 26, 28\}\\eq\{25\}-FALSE\\\\F\ \subset D-CORRECT\\\\E\ \cap\ F=\O-CORRECT\\\\E\ is\ infinite-FALS`