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Worked Example 4: Linear Inequality (Higher tier)

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? No ✗

So shade the side of the line that does not contain the origin

Step 3 Identify solution

Shade region above and including the line

Solution: All points on or above y = 2x + 1

Make this stick

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