Introduction: Not only equations, but also inequalities are important.
Method: Solving inequality $f(x)\geq g(x)$
Conclusion: The values such that $h(x) \geq 0$ are the same as where $f(x) \geq g(x)$.
Remark: Inequalities of the form $f(x)>g(x)$, $f(x)\leq g(x)$ and $f(x)$ are solved in the same way.
Method: Solving inequality $f(x)\geq g(x)$
- Define the function $h(x) = f(x)- g(x)$.
- Determine the zeros of $h(x)$.
- Make a sign chart of $h(x)$.
- Read in the sign chart where $h(x) \geq 0$.
Conclusion: The values such that $h(x) \geq 0$ are the same as where $f(x) \geq g(x)$.
Remark: Inequalities of the form $f(x)>g(x)$, $f(x)\leq g(x)$ and $f(x)$ are solved in the same way.