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algebra

Write interval notation for the set
{x|-4 < x < 4
-

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  1. -4 < X < 4.
    The inequality states that X IS greater
    than -4 but less than 4. In other words, X includes all real numbers
    between -4 and 4, but -4 and 4 are not
    included.

    To graph this inequality on a number
    line, draw an open circle at -4 and 4,
    and draw a line between the 2 points.
    Again, the OPEN circles mean that
    the end points(-4 and 4) are not included in the solution.

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  2. -(8) < n <(or =) - (-5)

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  3. -(8) < n <= -(-5)
    Removing the parenthesis from terms
    preceeded by a negative sign is equivalent to multiplying each term
    by negative 1. In other words, you change the sign of each term.

    -8 < n <= 5
    The inequality states that n is greater
    than -8 but it can go as high as 5 as
    a maximum. The = sign means that 5 is a part of the solution.

    To graph the inequality on a number line, draw an open circle at -8
    indicating that -8 is NOT a part
    of the solution. Draw a closed circle at 5 which indicates that 5 is a part of the solution. Draw a line from
    -8 to 5.

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