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13 January, 21:13

The organizers of a drama club wanted to sell 350 tickets to their show. The actual sales were no more then 35 tickers from this goal. Write and solve an absolute-value inequality to find the range of the number of tickets that may have been sold.

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  1. 13 January, 21:31
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    We know that the real number of tickets sold was within 35 tickets of 350.

    "no more than 35" implies a difference less than or equal to 35, meaning we want to use ≤ in our equation.

    The following absolute value inequality describes our ticket range:

    |350 - x| ≤ 35

    Plug a few numbers in for x to make sure this function makes sense:

    x = 360

    |-10| = 10 ≤ 35

    x = 300

    |50| > 35, does not comply with our inequality.
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