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Juan scored 82. Usea compound inequality to show the possible score x he got on his second test,if the average is strictly between 74 and 80?

2 Answers

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  • 3 years ago
    Favorite Answer

    Let x be the second score.

    His average is *strictly* between 74 and 80:

    74 < (82+x)/2 < 80

    Multiply everything by 2:

    148 < 82 + x < 160

    Subtract 82 from everything:

    66 < x < 78

    Note: When something is *strictly* between, the endpoints are *not* included.

    Answer:

    66 < x < 78

  • Anonymous
    3 years ago

    66<=x<=78

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