Inequalities From Sketches

When using sketches to find inequalities, the goal is to determine the ranges of values for which the function is greater than or less than zero (or another value), based on its graphical representation.

Solve Inequalities From Sketches

Identify Key Points: Look at the graph to identify important points such as roots (where the graph crosses or touches the x-axis), maximum or minimum points, and the behaviour of the curve.

Analyze the Sign of the Function: Determine where the function is positive (above the x-axis) and where it is negative (below the x-axis). These regions help define the inequality.

Express the Inequality: Based on the graph, express the inequality using the appropriate symbols.