This deep dive covers Method 4: Solving Inequalities Graphically within Graphical Solutions for GCSE Mathematics. Revise Graphical Solutions in Algebra for GCSE Mathematics with 9 exam-style questions and 6 flashcards. Use this page as part of a wider topic revision path rather than treating it as an isolated fact. It is section 7 of 10 in this topic. Use this deep dive to connect the idea to the wider topic before moving on to questions and flashcards.
Method 4: Solving Inequalities Graphically
- Plot boundary line (solid if ≤/≥, dashed if
- Choose test point not on the line (often use origin if convenient)
- Substitute coordinates into inequality
- Shade correct region: if test point satisfies inequality, shade that side
- Check solution by testing another point in shaded region
Practice questions for Graphical Solutions
A straight line y = 3x − 6 is plotted on a graph. Where does the solution to 3x − 6 = 0 appear on the graph?
A student tries to solve the simultaneous equations y = 3x + 2 and y = 3x − 5 graphically. Explain what they will see on the graph and what this means for the solution.
Quick recall flashcards
Graphical Solution
Finding where two graphs intersect gives the solution to simultaneous equations
Intersection Point
The point where two graphs cross - this gives x and y values that satisfy both equations