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How do you solve the problem x/4 +x/5 < 9/2?

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How do you solve the problem x/4 +x/5 < 9/2?

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  1. x/4 + x/5 &lt; 9/2

    5x/(4)(5) + 4x/(5)(4) &lt; 9/2 &lt;== change fraction into common denominator

    (5x+4x)/ 20 &lt; 9/2

    9x/20 &lt; 9/2

    9x &lt; 9/2 * 20

    9x &lt; 90

    x &lt; 10

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