This study notes covers Worked Example 4: Linear Inequality within Graphical Solutions for GCSE Mathematics. Revise Graphical Solutions in Algebra for GCSE Mathematics with 9 exam-style questions and 6 flashcards. This topic appears less often, but it can still be a useful differentiator on mixed-topic papers. It is section 8 of 9 in this topic. Use this study notes to connect the idea to the wider topic before moving on to questions and flashcards.
Topic position
Section 8 of 9
Practice
9 questions
Recall
6 flashcards
Worked Example 4: Linear Inequality
Solve graphically: y ≥ 2x - 1
Step 1 Plot boundary line
y = 2x - 1 (solid line since ≥)
y-intercept: (0, -1)
Gradient: 2
Step 2 Test a point
Use origin (0, 0): Is 0 ≥ 2(0) - 1?
Is 0 ≥ -1? Yes! ✓
So shade the region containing origin
Step 3 Identify solution
Shade region above and including the line
Solution: All points on or above y = 2x - 1