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21 December, 23:24

What is the solution to the compound inequality 3x-8>-5 and 2x-7<5

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  1. 21 December, 23:34
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    1 < x < 6 ⇒ x ∈ (1, 6)

    Step-by-step explanation:

    3x - 8 > - 5 add 8 to both sides

    3x > 3 divide both sides by 3

    x > 1

    2x - 7 < 5 add 7 to both sides

    2x < 12 divide both sides by 2

    x < 6

    From x > 1 and x < 6 we have the solution 1 < x < 6 ⇒ x ∈ (1, 6)
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