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21 April, 22:52

Is 10 a solution to the following inequality? - 2 (x-13) - 7+5x<0

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  1. 21 April, 22:57
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    10 is NOT a solution for - 2 (x - 13) - 7 + 5 x <0

    Step-by-step explanation:

    Here, the given expression is : - 2 (x - 13) - 7 + 5 x <0

    To check : If it holds true for x = 10

    Put x = 10 in the lefts side, we get:

    -2 (x - 13) - 7 + 5 x = - 2 (10 - 13) - 7 + 5 (10)

    = - 2 (-3) - 7 + 50

    = 6 - 7 + 50 = - 1 + 50

    = 49

    ⇒ at x = 10, - 2 (x - 13) - 7 + 5 x = 49

    and Right side of the inequality is 0.

    49 < 0 is a contradiction, as 49 ≮ (is not less than) 0

    Hence, 10 is NOT a solution for - 2 (x - 13) - 7 + 5 x <0
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