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23 June, 05:53

Find all real numbers $x$ such that $3x - 7 / le 5x + 9$. give your answer as an interval.

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  1. 23 June, 05:58
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    We want to solve the inequality

    3x - 7 ≤ 5x + 9

    Subtract 3xfrm each side.

    -7 ≤ 2x + 9

    Subtract 9 from each side.

    -16 ≤ 2x

    Divide each side by 2.

    -8 ≤ x

    Multiply each side by - 1.

    8 ≥ x

    Therefore - ∞ < x ≤ 8 or x = (-∞, 8]

    Answer: x = (-∞, 8]
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