Suppose the temperature x miles above ground level is given by T= 74minus29x. Write and solve an inequality that describes when the temperat

Question

Suppose the temperature x miles above ground level is given by T= 74minus29x. Write and solve an inequality that describes when the temperature is below 50degreesF.

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Cherry 2 months 2021-08-25T17:03:31+00:00 1 Answers 1 views 0

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    2021-08-25T17:04:59+00:00

    Given:

    Suppose the temperature x miles above ground level is given by

    T=74-29x

    To find:

    The inequality and solve the inequality that describes when the temperature is below 50 degrees F.

    Solution:

    The temperature is below 50 degrees F. It means the temperature is less than 50 degrees F.

    T<50

    74-29x<50

    -29x<50-74

    -29x<-24

    Divide both sides by -29 and change the inequality sign.

    x>\dfrac{-24}{-29}

    x>0.8275862

    x>0.828

    Therefore, the required inequality is 74-29x<50 and the solution is x>0.828.

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