What compound inequality describes this graph?
Write a compound inequality like
1
<
x
<
3
or like
x
<
1
or
x
>
3
.
Solution:
Remember:
- When a compound inequality has a graph that looks like a line
segment,
it can be written with the variable between the values of the endpoints, like
1
<
x
<
3
.
- When a compound inequality has a graph that looks like two
rays,
it can be written as two inequalities joined with
or,
like
x
<
1
or
x
>
3
.
The graph shows two rays, so the compound inequality can be written as two inequalities joined with
or.
The ray on the left represents
x
<
7
. The ray on the right represents
x
=
8
Use or to connect them:
x
<
7
or
x
=
8