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If A={x in R:|x|lt2} and B={x in R:|x-2|...

If `A={x in R:|x|lt2} and B={x in R:|x-2|ge3}`, then

A

`A-B=[-1,2)`

B

`B-A=R-(-2,5)`

C

`AuuB=R-(2,5)`

D

`AnnB=(-2,-1)`

Text Solution

Verified by Experts

The correct Answer is:
B
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Knowledge Check

  • Let A = {x : |x| lt 2} and B = {x : |x - 2| ge 3} then

    A
    `A ∩ B = [-2, -1]`
    B
    `A ∪ B = R - (2, 5)`
    C
    `A - B = [-1, 2) `
    D
    `B - A = R - (-2, 5) `

  • If A={x:x inR,x le3} and B={x:x in R,x lt6} , then AnnB= ____________.

    A
    `{x:x inR,3ltxlt6}`
    B
    `{x:x inR,3lexle6}`
    C
    `varphi`
    D
    `{x:x inR,2lexle10}`

  • Statement-1 : If n(A) = 3, n(B) = 6, then minimum number of elements in A cup B is 6. Statement-2 : A = {x|x in R, |x| lt 2} and B = {x| x in R, |x| ge 2} . If A cup B = C - R , then C = {x| x in R, 2 ge x lt 3} . Statement-3: The range of f(x) = 2^((x^(2) - 2)^(3) + 8) is [1, oo)

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