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5 July, 21:14

Given - 2x-8>-12 determine the largest integer that satisfies the inequality

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  1. 5 July, 23:14
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    -2x - 8 > - 12

    -2x - 8 + 2x > - 12 + 2x ... add 2x to both sides

    -8 > - 12 + 2x

    -8+12 > - 12+2x+12 ... add 12 to both sides

    4 > 2x

    2x < 4 ... flip both sides so that the x term is on the left side

    2x/2 < 4/2 ... divide both sides by 2

    x < 2

    This describes the set of x values such that x is less than 2.

    The largest integer that x can be is x = 1. The value of x cannot be 2 because we don't have an "or equal to" as part of the inequality sign.

    Final Answer: 1
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