Let A = x ∈ R : x + 1 2 and B = x ∈ R : x - 1 ≥ 2 . Then which one the following statements is NOT true?

Question

Let A = x ∈ R : x + 1 2 and B = x ∈ R : x - 1 ≥ 2 . Then which one the following statements is NOT true?, A - B = - 1 , 1, B - A = R - - 3 , 1, A ∩ B = ( - 3 , - 1 ], A ∪ B = R - [ 1 , 3 )

MARKS App · Accepted Answer

Given, A = x ∈ R : x + 1 2 ⇒ A = - 3 , 1 Now, B = x ∈ R : x - 1 ≥ 2 ⇒ B = ( - ∞ , - 1 ] ∪ [ 3 , ∞ ) Now, B - A = ( - ∞ , - 3 ] ∪ [ 3 , ∞ ) ⇒ B - A = R - - 3 , 3 So, option B is not true.

Search any question & find its solution

Looking for more such questions to practice?