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Thread: Intervals On Number Line

  1. #1
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    Intervals On Number Line

    The set of real numbers satisfying the given inequality is one or more intervals on the number line. Show the intervals on a number line.

    |x| < 2

    We have the absolute value of x is less than 2.

    Must I solve for x before plotting on the number line?

    |x| < 2

    -2 < x < 2

    This leads to (-2, 2). Correct?

    <-------(-2)-------------(0)--------------(2)---------->

    Is this right?
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  2. #2
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    Re: Intervals On Number Line

    you must at least solve for $x$ in spirit. Otherwise how will you know how to show the interval on the number line?

    Personally I think making you show the numbers on the number line is a bit remedial.

    Showing the solution as a union of intervals is just as good and doesn't require all the drawing.

    your answer of $|x| < 2 \Rightarrow x \in (-2,2)$ is correct
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  3. #3
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    Re: Intervals On Number Line

    Good.
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