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.

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

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