1.
Charles Garrett - 04/08/2017 11:56:46 PM EDT
Developmental Math / 1174 MAT104 Spring 2017 – BENJELLOUN - MAT104546VA016-1174-001
(BENJELLOUN)
Union and intersection of intervals
and
are sets of real numbers defined as follows.
Write
and
using
interval
notation.
If the set is
empty
, write
.
The set
is the interval
. It is graphed below.
The set
is the interval
. It is graphed below.
The set
is the
intersection
of the sets.
It consists of only those numbers that are in both
and
.
The graph of
is the region of overlap for the graphs of
and
.
Here,
and
do not overlap anywhere. The set
is empty.
So, we get that
.
The set
is the
union
of the sets.