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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 = E. E ∪ (D ∩ F) is {25}. F ⊂ D (E ∩ F) is the empty set. Set E is infinite.

Respuesta :

gmany

D = {x | x is a whole number} = { 0, 1, 2, 3, 4, 5, ...}

E = {x | x is a perfect square < 36} = { 0, 1, 4, 9, 16, 25}

F = {x | x is an even number between 20 and 30} = { 22, 24, 26, 28}

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

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