Express the fact that x differs from 3 by less than 2/7 as an inequality involving absolute value. S

Discussion in 'Calculator Requests' started by math_celebrity, Feb 12, 2022.

  1. math_celebrity

    math_celebrity Administrator Staff Member

    Express the fact that x differs from 3 by less than 2/7 as an inequality involving absolute value. Solve for x.

    Let's build this algebraic expression in pieces:

    The phrase differs from means a difference.
    x - 3

    By less than 2/7 means we use the < sign compared to 2/7
    x - 3 < 2/7

    Finally, the problem says we involve absolute value. So we write this as:
    |x - 3| < 2/7
     

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