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.
Let A=x∈R:∣x+1∣<2 and B=x∈R:∣x−1∣≥2. Then which one the following statements is NOT true?
Held on 25 Jun 2022 · Verified 1 Jul 2026.
A−B=(−1,1)
B−A=R−(−3,1)
A∩B=(−3,−1]
A∪B=R−[1,3)
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