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Suppose A = {x |x ≤ −2, x ≥ 3} and B = {x | −1 ≤ x < 5}. Which statement is true?

AA ∪ B is all real numbers
BA ∩ B = ∅
CA' = {x | −2 ≤ x ≤ 3}
DB ⊆ {x | x ≤ 5}

Verified Answer :

mariellemae29

A.A∪ B is real numbers

B ⊆ {x | x ≤ 5} is a true statement

Option D is correct

The given sets are:

A = {x |x ≤ −2, x ≥ 3}

B = {x | −1 ≤ x < 5}

Set A be includes numbers less than or equal to -2, and numbers from 3 upwards

Set B includes numbers from -1 but less than 5

From observation, we can see that the set B can be pulled out from {x | x ≤ 5} because all elements in {x | x ≤ 5} are in B

Therefore, B ⊆ {x | x ≤ 5} is the only true statement in the options

Learn more on set operations here: https://brainly.com/question/9025420

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