QJEEM22Ma4746: JEE Main 2022 Mathematics - Class 11 JEEM22Ma4746 Solution: Let A = { x ∈ R :

Question

Verified Solution • 2025–26 Session moderate

Let $A = {x \in R : | x + 1 | < 2}$ and $B = {x \in R : | x - 1 | \geq 2}$ . Then which one of the following statements is NOT true?

Accepted Answer

A = ( $-$ 3, 1) and B = ( $-$ $\infty$ , $-$ 1] $\cup$ [3, $\infty$ )

So, A $-$ B = ( $-$ 1, 1)

B $-$ A = ( $-$ $\infty$ , $-$ 3] $\cup$ [3, $\infty$ ) = R $-$ ( $-$ 3, 3)

A $\cap$ B = ( $-$ 3, $-$ 1]

and A $\cup$ B = ( $-$ $\infty$ , 1) $\cup$ [3, $\infty$ ) = R $-$ [1, 3)

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