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Math Help - inequality expressed in absolute value notation

  1. #1
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    inequality expressed in absolute value notation

    some plz help me wit this problem

    x is greater then or equal to 12

    x is less then or equal to 2

    -5 is less then p and p is less then 2 so, (-5,2)

    these inequalities have to be expresses in absolute value notation..i dont have a clue how to start...
    thanks
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  2. #2
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    x is greater then or equal to 12
    x is less then or equal to 2


    midpoint between 12 and 2 is 7 ... distance from 7 to either 2 or 12 is 5

    |x - 7| \geq 5


    -5 is less then p and p is less then 2

    midpoint between -5 and 2 is -1.5 ... distance from -1.5 to either -5 or 2 is 3.5

    |x - (-1.5)| < 3.5
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  3. #3
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    confused on the signs

    ok soo working through those problems I get the same answers but im confused on how to determine the sign of the answer. How do i know if the answer is going to be greater then or equal to, less then or equal to, or less then, or greater then?

    thanks again
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  4. #4
    is up to his old tricks again! Jhevon's Avatar
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    Quote Originally Posted by PMoNEY23 View Post
    ok soo working through those problems I get the same answers but im confused on how to determine the sign of the answer. How do i know if the answer is going to be greater then or equal to, less then or equal to, or less then, or greater then?

    thanks again
    put your solutions on a number line and test the intervals in your problem
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