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6 September, 17:51

Is the inequality always, sometimes or never true?

1. 9 (x+2) > 9 (x-3)

2. 6x-13 < 6 (x-2)

3. - 6 (2x-10) + 12x less than or equal to 180.

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  1. 6 September, 18:17
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    1) 9 x + 18 > 9 x - 27

    9 x - 9 x > - 27 - 18

    0 * x > - 45

    Always true

    2) 6 x - 13 < 9 x - 12

    6 x - 6 x < - 12 + 13

    0 * x < 1

    Always true

    3) - 6 (2 x - 10) + 12 x ≤ 180

    - 12 x + 60 + 12 x ≤ 180

    0 * x ≤ 180 - 60

    0 * x ≤ 120

    Always true.
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