Math Help for Section 3.6, Page 145
Example
2: Tip
The inequality $x<a$ can also be written as $a>x$. In
other words, saying “x
is less than a”
is the same as saying “a
is greater than x.”
Similarly:
| a. | $-3<x\le 1$ is the same as $1\ge x >-3$. | |
| b. | $0<x< 2$ is the same as $2>x >0$. |
|
| c. | $-3<x$ is the same as $x >-3$. | |
| d. | $x\le2$ is the same as $2\ge x$. |
Technology:
Tip
You can graph linear inequalities using a graphing calculator. The
inequality $x >- 2$ is shown in the graph below.
Notice that
the graph appears above the x-axis
so that it is visible. Consult the
user’s manual for your graphing calculator for instructions.
