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Math Help - Inequality Word Problem

  1. #1
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    Inequality Word Problem

    Here's the question:

    Carline has 750$ in the bank. Every week, she takes out at least $20.

    A. Make an inequality that shows the amount of money Caroline has in the bank, B, based on the number of weeks, w, that she takes money out.

    Her answer is b is less then or equal to 750-20w

    I don't get how she got the less then or equal to or the B.

    Please Help!!!!

    And another inequality problem;
    In a problem like 4|3-2x| +1 is less then or equal to 21
    how do you know if when you do your solution if it's a or or a compound inequality?
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  2. #2
    Junior Member Ruichan's Avatar
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    Quote Originally Posted by cherrybaby View Post
    Here's the question:

    Carline has 750$ in the bank. Every week, she takes out at least $20.

    A. Make an inequality that shows the amount of money Caroline has in the bank, B, based on the number of weeks, w, that she takes money out.

    Her answer is b is less then or equal to 750-20w

    I don't get how she got the less then or equal to or the B.
    Actually the variables are already stated.
    B=bank
    w=week

    B<=750-20w
    The reason why it's <=:
    In the problem, she draws at least $20 per week. She could take out more than $20.
    Therefore, at a certain time, if she takes out more than $20, what she has in the bank will be, B<750-20w. (750 is the principal amount she has)
    If she only takes out $20 each time, she'll have, B=750-20w, in the bank.
    Hence the inequality, B<=750-20w.
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