Question

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

Answer 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.

Answer 2

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

Answer 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.