GCSE Secondary Maths Age 13-17 - Algebra: Inequalities - Explained

The video tutorial explains how to solve the inequality X^2 > 3(X + 6). It begins by expanding the brackets and simplifying the expression to X^2 - 3X - 18 > 0. The instructor then factorizes the quadratic to find key points and uses a graph to determine where the quadratic is positive. The solution is found by identifying the regions where the graph is above the X-axis, leading to the final answer: X > 6 or X < -3. The tutorial emphasizes the importance of correct initial steps and graphical representation for accuracy.

Explain how to determine where the quadratic is greater than zero.

What is the significance of the graph in solving the inequality?