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24 March, 11:48

If M is the set of all square numbers less than 80 and N is the set of all non-negative even numbers that are under 30, a Write the lists of all elements of M and N,

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  1. 24 March, 12:04
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    1. M = { (-8) ^2, (-7) ^2, (-6) ^2, (-5) ^2,

    (-4) ^2, (-3) ^2, (-2) ^2, (-1) ^2, 0^2, 1^2, 2^2, 3^2, 4^2, 5^2, 6^2, 7^2, 8^2}

    2. N = {2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24, 26, 28}

    Step-by-step explanation:

    Data obtained from the question.

    M = {set of all square of numbers less than 80}

    N = {set of all non-negative even numbers that are under 30}

    The elements of set M and N can be obtained as follow:

    1. Square of all numbers less than 80 = (-8) ^2, (-7) ^2, (-6) ^2, (-5) ^2,

    (-4) ^2, (-3) ^2, (-2) ^2, (-1) ^2, 0^2, 1^2, 2^2, 3^2, 4^2, 5^2, 6^2, 7^2, 8^2

    Thus, we can write set M as:

    M = { (-8) ^2, (-7) ^2, (-6) ^2, (-5) ^2,

    (-4) ^2, (-3) ^2, (-2) ^2, (-1) ^2, 0^2, 1^2, 2^2, 3^2, 4^2, 5^2, 6^2, 7^2, 8^2}

    2. All non-negative even numbers that are under 30 = 2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24, 26, 28

    Thus, we can write set N as

    N = {2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24, 26, 28}
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