Foundation Level (Fail → Pass)

1. Explain the Golden Rule of Inequalities: What happens when you multiply or divide both sides by a negative number?

2. Solve the inequality x + 4 > 11.

3. Solve 3y ≤ 12 and represent the solution on a number line.

4. Draw a coordinate plane and shade the region represented by x > 2.

5. Draw a coordinate plane and shade the region represented by y ≤ -1.

Intermediate Level (Pass → Credit) 

6. Solve the inequality 7 - 4p > 3 and represent the solution on a number line.

7. Find the set of all integer solutions for the inequality 5x + 1 > -4.

8. Create a study guide explaining how to shade regions on a coordinate plane for inequalities like x ≥ a, y < b, and y ≥ x.

9. Shade the region that satisfies both x ≤ 3 and y > 1 on a single coordinate plane.

10. Nimal has Rs. 100. He buys 3 mangoes at Rs. 20 each and some mandarins at Rs. 15 each. If y is the number of mandarins, write an inequality and solve it to find the maximum number of mandarins he can buy.

Advanced Level (Credit → Distinction) 

11. Solve the inequality 2(3 - x) > 10 and find the largest integer value that x can take.

12. Find the integer values of x which satisfy both x + 3 > 1 and 2x ≤ 12. Represent this final solution set on a number line.

13. On a single coordinate plane, shade the region that satisfies all three inequalities: x ≥ 0, y ≥ 1, and y ≤ x.

14. The perimeter of a rectangle with width 5 cm must be less than 30 cm. If the length is x cm, write an inequality and find the possible range of values for x.

15. Give me a challenging problem that requires shading the region defined by three inequalities, one of which is diagonal (e.g., x ≥ -1, y > -2, y > x).