Using Interval Notation
- If an endpoint is included, then use [ or ].
If not, then use ( or ). For example, the interval
from -3 to 7 that includes 7 but not -3 is expressed (-3,7].
- For infinite intervals, use Inf
for ∞ (infinity) and/or
-Inf for -∞ (-Infinity). For
example, the infinite interval containing all points greater than or
equal to 6 is expressed [6,Inf).
- If the set includes more than one interval, they are joined using the union
symbol U. For example, the set consisting of all points in (-3,7] together with all points in [-8,-5) is expressed
[-8,-5)U(-3,7]
.
- If the answer is the empty set, you can specify that by using
braces with nothing inside:
{ }
- You can use
R
as a shorthand for all real numbers.
So, it is equivalent to entering (-Inf, Inf)
.
- You can use set difference notation. So, for all real numbers
except 3, you can use
R-{3}
or
(-Inf, 3)U(3,Inf)
(they are the same). Similarly,
[1,10)-{3,4}
is the same as [1,3)U(3,4)U(4,10)
.
- WeBWorK will not interpret [2,4]U[3,5] as equivalent
to [2,5], unless a problem tells you otherwise.
All sets should be expressed in their simplest interval notation form, with no
overlapping intervals.