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    Linear equation and system of inequalities

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    A target heart rate T that is half a person's maximum heart rate is given by T=110 - 1/2A where A is a person's age.

    (a) What is T for a person 30 years old? 50 years old?

    (b) Sketch a graph of the system of inequalities.

    T > 110 - 1/2A

    T < 220 - A

    Assume that A is between 20 and 60.
    (c) Interpret your graph.

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    https://brainmass.com/math/linear-algebra/linear-equation-system-inequalities-469008

    Solution Preview

    See the attached files.

    Here is my answer:

    (a) T=110-1/2*A.
    A=30, T=110-1/2*30=95.
    A=50, ...

    Solution Summary

    The solution provides detailed explanation how to graph system of inequalities and perform operations for linear equations.

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