Please Help! 13. List all of the elements of each set a) Set of integer solutions of x^2≤3

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Please Help! 13. List all of the elements of each set

a) Set of integer solutions of x^2≤3

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Everleigh 2 months 2021-10-09T04:56:20+00:00 1 Answer 0 views 0

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    2021-10-09T04:57:34+00:00

    Answer:

    S = {-1, 0, 1}

    Step-by-step explanation:

    First we need to solve the inequation x^2<=3

    Using square root in both sides, we have:

    |x| <= 1.73

    Separating the module in two, we have:

    x <= 1.73

    x >= 1.73

    So we have that -1.73 <= x <= 1.73

    Solving this inequation only with integer values, we have:

    x = -1, x = 0 or x = 1

    So the set of integer solutions is S = {-1, 0, 1}

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