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Decide, among the following sets, which ...

Decide, among the following sets, which sets are subsets of one and another:
A = { `x : x ∈ R and x` satisfy `x^(2) – 8x + 12 = 0` },
`B = { 2, 4, 6 }, C = { 2, 4, 6, 8, . . . }, D = { 6 }`.

Text Solution

Verified by Experts

The correct Answer is:
`A ⊂ B, A ⊂ C, B ⊂ C, D ⊂ A, D ⊂ B, D ⊂ C`
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Knowledge Check

  • The set A={x:x in R, x^(2) =16 and 2x=6} is

    A
    `phi`
    B
    {1,2}
    C
    {3}
    D
    {4,-4}

  • If A = {x:x^2 -5 x +6 =0},B={2,4 } , C={4,5 } , then A xx ( B cap C) is

    A
    `{(2,4) ,(3,4)}`
    B
    `{(4,2) ,(4,3)}`
    C
    `{(2,4),(3,4) ,(4,4)}`
    D
    `{(2,2),(3,3) ,(4,4) ,(5,5)}

  • R is a relation on the set A = { 1,2,3,4,6,7,8,9} given by x Ry and y=3x , then R=

    A
    `{(3,1),(6,2),(8,2),(9,3)}`
    B
    `{(13,1),(6,2),(9,3)}`
    C
    `{(3,1),(2,6)(3,9)}`
    D
    none of these

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    State which of the following sets are disjoint. A = {2, 4, 6, 8}, B = {x : x is an even number lt10,x inN }

    Identify the following sets as finite or infinite. B = {x:x^(2)-5x+6=0,x inNN}

    Identify the following sets as finite or infinite B= {x: x^(2) -5x +6= 0, x in NN}

    State which of the following sets are disjoint. X = {1, 3, 5, 7, 9}, Y = {0, 2, 4, 6, 8, 10}

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