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Math Help - solving inequalities

  1. #1
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    solving inequalities

    Please solve the inequalities, (the results in set notation)
    1) -2 (3+x)< 4x +4 < 8x
    2) [2x - 4] < 10
    3) 4 < -z - 4 < 11
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  2. #2
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    1. 2 < x < 5 or (2, 5)
    2. x < 7 or (-inf, 7)
    3. -15 < z < -8 or (-15,-8)
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  3. #3
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    Quote Originally Posted by jay1 View Post
    Please solve the inequalities, (the results in set notation)
    1) -2 (3+x)< 4x +4 < 8x
    2) [2x - 4] < 10
    3) 4 < -z - 4 < 11
    1) Solve seperately: -6 - 2x < 4x + 4 and 4x + 4 < 8x:

    -6 - 2x < 4x + 4 => -10 < 6x => 6x > -10 => x > -10/6.

    4x + 4 < 8x => 4 < 4x => 4x > 4 => x > 1.

    The answer will be the values of x common to both of these solutions.


    Now try the others. If you need more help, please show your work and say where yuo get stuck.

    Quote Originally Posted by Austen Heller View Post
    1. 2 < x < 5 or (2, 5)
    2. x < 7 or (-inf, 7)
    3. -15 < z < -8 or (-15,-8)
    The first answer is wrong - I haven't checked the others.
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