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Math Help - [SOLVED] Solve inequality. Answer in interval notation.

  1. #1
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    [SOLVED] Solve inequality. Answer in interval notation.

    3x - 5 > 0
    x


    I have one interval notation as (5/3, infinity).
    but x is also less than 0 to negative infinity.

    help please.
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  2. #2
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    Quote Originally Posted by crashdummy View Post
    3x - 5 > 0
    x


    I have one interval notation as (5/3, infinity).
    but x is also less than 0 to negative infinity.

    help please.
    HI

    you can use the number line method , where the solutions match your answer .

     <br /> <br />
(-\infty , 0) U (\frac{5}{3} , \infty)<br />
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  3. #3
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    \frac{3x-5}{x}>0

    - 1st step (the denominator not equal 0 (zero))
    since, the denominator is x so
    x (!=) 0 Note: (!=) not equal
    - 2nd step (the numerator)
    3x-5=0
    so, we have x=\frac{5}{3}
    - 3rd step (create the number line)
    create the number line with those two point we already have
    first point is 0 and second point is \frac{5}{3}

    -\infty-----0----------5/3------- \infty

    the line number devided the line into 3 intervals
    ( -\infty,0); (0,5/3] and [5/3, \infty)
    - 4th step (check the point)
    from the number line, you check the value of the point between the intervals and choose the positive value ( >0 from the question).


    ......... hope it help...........
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