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10 April, 10:54

Let A = n ℤ and B = m = 20s for some integer s. Determine which of the following statements are true and which are false. (Enter TRUE if the statement is true, and enter a number that could be used as the basis for a counterexample if the statement is false).

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  1. 10 April, 12:36
    0
    Incomplete question

    This is the complete aspect of the question

    a. Is this true or false

    A⊆B?

    b. Is this true or false

    B⊆A?

    Step-by-step explanation:

    Given that

    A = n ℤ

    Integer are positive and negative whole numbers

    A={ ... - 20,-15,-10,-5,0,5,10,15,20 ... }

    Also,

    B = mℤ.

    Then,

    B={ ... - 80,-40,-20,0,20,40,80 ... }

    a. In mathematics, a set A is contained in B if every element in A is found in B

    Then,

    A⊆B

    Then looking at A and B, not all element in A can be found in B e. g, 10, 15,25,-10,-25 and so, the law doesn't hold

    Then, A⊆B is false

    b. B⊆A, now every element in B can be found in A, then this is true and then B is contain in A
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