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31 July, 01:01

Which statement is always true? A.) The absolute value of an integer is equal to the opposite of the integer B.) a positive integer is greater than a negative number C.) the absolute value of an integer is greater than zero D.) An integer is greater than its opposite

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  1. 31 July, 02:35
    0
    the absolute value of an integer is equation to the opposite of the integer
  2. 31 July, 04:44
    0
    a positive integer is greater than a negative number

    Step-by-step explanation:

    Let us consider each option one by one:

    A.) Let us consider a counter example where the integer = 2

    As per option A, abs (2) = - 2

    But this is incorrect. So option A is invalid.

    B) Any positive integer is greater than 0

    Any negative number is less than 0.

    So, any positive integer is greater than a negative number.

    C.) Let us consider an integer 0.

    abs (0) = 0

    But this is not greater than 0. So this option is not always valid.

    D) Let us consider an integer - 2.

    Its opposite is 2.

    But - 2 < 2

    So option D is invalid.
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