IB Maths AA 2.6 Notes

Inequalities

An inequality compares two expressions using symbols such as $>$, $<$, $\ge$, and $\le$. Solving an inequality means finding all values of the variable that make the statement true.

In this topic, you need to solve inequalities both analytically and graphically, including inequalities of the form $g(x)\ge f(x)$ and modulus equations and inequalities.

Common symbols include:

• $x>3$ means $x$ is greater than $3$.
• $x<3$ means $x$ is less than $3$.
• $x\ge3$ means $x$ is greater than or equal to $3$.
• $x\le3$ means $x$ is less than or equal to $3$.

Solutions to inequalities are often written using interval notation or on a number line.