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-   -   Inequalities with fractions (https://www.askmehelpdesk.com/showthread.php?t=269369)

  • Oct 14, 2008, 02:28 PM
    selinaaa
    inequalities with fractions
    how do you solve inequalities with fractions? Such as 2/5 x -5>3?
    I realllllllllllllly need help!
  • Oct 15, 2008, 02:37 PM
    ebaines

    You can add and subtract numbers to both sides, just like with standard equations. You can also multiply (or divide) both sides by a factor, however, if the factor is negative then the inequality gets flipped. Consider a problem that is similar to yours:

    4/7 x - 9 >3

    Add 9 to both sides:

    4/7 x > 12

    Now multiply through by 7/4:

    x > 12*7/4, or
    x> 21.

    Alternatively, you could start by multipying through by 7:

    4/7x - 9 > 3
    4x - 63 >21
    Add 63 to both sides:
    4x > 21+63
    4x>84
    Now divide through by 4:
    x > 84/4, or
    x>21.

    You should be able to use this same process on your homework problem. Post back and let us know what you get or an answer.

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