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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

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

    A
    {(2,4), (3,4)}
    B
    {(2,4),(4,4)}
    C
    {(2,4),(2,3)}
    D
    none of these

  • If A ={x:x^(2) -5x +6=0}. B ={2,4} and C= {4,5}, then Axx(B nnC) is-

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

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