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Math Help - Need help on inequalities

  1. #1
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    Exclamation Need help on inequalities

    Here are the two problems I need Help on any help would be a great thanks.

    l3hl+15<0
    and
    lxl less then equal to x - 1

    For the second one I got all real numbers and the last one iam dont know what to do

    Thanks again
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  2. #2
    is up to his old tricks again! Jhevon's Avatar
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    Quote Originally Posted by Whc15 View Post
    Here are the two problems I need Help on any help would be a great thanks.

    l3hl+15<0
    that's impossible. it doesn't work no matter what h is. if this is your problem, it has no solution

    and
    lxl less then equal to x - 1
    for this you have to solve

    -(x - 1) \le x \le x - 1

    this comes from the definition of |x|, which i assume you know
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  3. #3
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    Thanks

    Thank you for your help

    I am still a little confused on the last one would the answer be all real numbers
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  4. #4
    is up to his old tricks again! Jhevon's Avatar
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    Quote Originally Posted by Whc15 View Post
    Thank you for your help

    I am still a little confused on the last one would the answer be all real numbers
    no, it also has no solution. it would be all real x if |x| \ge x - 1

    it seems strange that both your answers have no solution. make sure you describe the inequalities correctly

    \ge means "greater than or equal to", and

    \le means "less than or equal to"

    also, check your signs
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  5. #5
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    the first one is impossible because
    l3hl<-15 does not work because absolute values always come out positive
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