Functions and graphs > Inequalities
12345Inequalities

## Theory

An expression such as $f\left(x\right)>g\left(x\right)$ or $f\left(x\right), etc., is called an inequality.
Inequalities can be solved using the corresponding graphs.

• First enter both functions in your graphing calculator.

• Adjust the settings so that both functions, especially all their intersects, are clearly visible.

• Then you determine the coordinates of the intersects.
You can use your calculator to do this, but often you can also find those points algebraically by solving the equation $f\left(x\right)=g\left(x\right)$. This can be quicker and more practical, or you may be explicitly asked to do so.

• Finally, you can read off the solution to your inequality from the graphs.
Make sure you apply the required precision!