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11 September, 08:42

Which number is NOT in the solution set of x + 6 < 14?

A.) 3

B.) 5.

C.) 7.

D.) 11

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Answers (1)
  1. 11 September, 12:23
    0
    Answer: 11

    Step-by-step explanation: To determine which number is not a solution for the inequality, first begin by substituting in 3 for x.

    So we have (3) + 6 < 14.

    (3) + 6 is 9 and we can see that 9 < 14.

    This means that this is a solution so we need to continue.

    Now substitute a 5 in for x.

    So we have (5) + 6 < 14.

    (5) + 6 is 11 and we can see that 11 < 14.

    This means that this is a solution so we need to continue.

    Now substitute a 7 in for x.

    So we have (7) + 6 < 14.

    (7) + 6 is 13 and we can see that 13 < 14.

    This means that this is a solution so we need to continue.

    Now substitute an 11 in for x.

    So we have (11) + 6 < 14.

    (11) + 6 is 17 and we can see than 17 < 14.

    Notice that the inequality 7 < 14 is not a true statement however because 17 is greater than 14, not smaller. This means that 11 is not a solution.
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