Geometry-help please :(

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Given the following sets, select the statement below that is true.
A = {l, a, t, e, r}, B = {l, a, t, e},
C = {t, a, l, e}, D = {e, a, t}

  • Question incomplete :( -

    The question does not appear complete. Please check.

  • Geometry-help please :( -

    Sorry about that....

    Given the following sets, select the statement below that is true.
    A = {l, a, t, e, r}, B = {l, a, t, e}, C = {t, a, l, e}, D = {e, a, t}

    B ⊂ C and C ⊆ A
    C ⊆ B and D ⊂ B
    D ⊂ A and A ⊂ D
    B ⊂ A and C ⊂ D
    D ⊆ A and A ⊂ C

  • Geometry-help please :( -

    ⊂ means "a proper subset of"
    P ⊂ Q requires that every element of P is also in element Q, and in addition, P cannot be equal to Q.

    ⊆ means "a subset of, or equal to"

    Based on the given information, give an attempt at the solution.

  • Geometry-help please :( -

    my answer would be C ⊆ B and D ⊂ B...is that correct?

  • Geometry-help please :( -

    Your answer is correct.

    C={t,a,l,e}
    B={l,a,t,e}
    Since they contain exactly the same elements, we cannot say C⊂B, nor B⊂C, but C⊆B or B⊆C would both be correct.

    Also, since
    D = {e, a, t}
    every element of D is in C, while the element "l" that is in C but not n D.
    We can therefore safely say that D is a proper subset of C.

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