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If sets A =[-4,1] and B=[0,3), then find...

If sets `A =[-4,1] and B=[0,3),` then find the following sets:
(a) `A cap B " (b) "A cup B " (c ) "A-B`
(d) `B-A " (e ) "(A cup B)' " (f) " (A cap B)' `

Text Solution

Verified by Experts

The correct Answer is:
(a) `[0, 1)" (b) " [-4, 3)" (c ) " [-4,0)" (d) " [1, 3)" (e ) " (-oo, -4) cup [3, oo)" (f) " (-oo, 0) cup [1,oo)`

(a) `A cap B=[0,1)`
(b) `A cup B=[-4,3)`
(c ) `A-B=[-4,0)`
(d) `B-A=[1,3)`
(e ) `(A cup B)' =(-oo,-4) cup [3, oo)`
(f) `(A cap B)'=(-oo,0) cup [1,oo)`
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Knowledge Check

  • For sets (A cup B) cup ( A cap B) equals

    A
    A'
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    B'
    C
    A
    D
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  • ( A cap B ) cup ( A cap C) =__________

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    `A cup C`
    D
    All of these

  • If A and B are two sets, then (A cup B')' cap (A' cup B)' is

    A
    null set
    B
    universal set
    C
    A
    D
    B

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