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30 November, 04:29

The solution set for all real numbers x such that 2x + 3 < 19 and 2x - 3 ≤ - 7 is (blank, blank]

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  1. 30 November, 04:35
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    Hello:

    2x + 3 < 19 and 2x - 3 ≤ - 7:

    the system:

    2x + 3 < 19 ... (1)

    2x - 3 ≤ - 7 ... (2)

    by (1) : 2x < 16

    x < 8

    by (2) : 2x ≤ - 4

    x ≤ - 2

    conclusion : x < 8 and x ≤ - 2

    The solution set is : x ≤ - 2
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