Introduction: Not only equations, but also inequalities are important.
Method: Solving inequality f(x)≥g(x)
Conclusion: The values such that h(x)≥0 are the same as where f(x)≥g(x).
Remark: Inequalities of the form f(x)>g(x), f(x)≤g(x) and f(x) are solved in the same way.
Method: Solving inequality f(x)≥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)≥0.
Conclusion: The values such that h(x)≥0 are the same as where f(x)≥g(x).
Remark: Inequalities of the form f(x)>g(x), f(x)≤g(x) and f(x) are solved in the same way.