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Math Help - Inequality Word Problem

  1. #1
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    Inequality Word Problem

    A rectangular PV (photovoltaic) solar panel is designed to be 1.42\; m long and supply 130\; \frac{W}{m^2} of power. What must the width of the panel be in order to supply between 100\; W and 150\; W?
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  2. #2
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    Quote Originally Posted by OzzMan View Post
    A rectangular PV (photovoltaic) solar panel is designed to be 1.42\; m long and supply 130\; \frac{W}{m^2} of power. What must the width of the panel be in order to supply between 100\; W and 150\; W?
    Let the width of the panel be x metres. Then:

    Power supply = (130 \, W/m^2) (1.42 x \, m^2) = (130)(1.42 x) \, W = 184.6x \, W

    You therefore require:

    100 \leq 184.6 x \leq 150 \Rightarrow \frac{100}{184.6} \leq x \leq \frac{150}{184.6} \Rightarrow .... \leq x \leq ....
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