Worksheet Chapter 7: Linear Inequalities

1. Solve the simultaneous linear inequalities: 3x - 1 ≥ 8 and (x2) + 1 < 5. State the solution set as a single inequality range.

2. Solve the simultaneous linear inequalities: x + 2 > 5 and 2x ≤ 14.

3. A taxi service charges a flat rate of RM5 plus RM2 per kilometer. Encik Amir wants to spend at most RM25 on his taxi ride. Construct a linear inequality and find the maximum distance in kilometers he can travel.

4. Fill in the blank with the correct inequality symbol (> or <): If -8 < -3, then -8 + 5 _____ -3 + 5.

5. True or False: Dividing both sides of an inequality by a negative number reverses the inequality symbol.

6. Which of the following inequalities corresponds to the statement 'The minimum height to enter the theme park ride is 120 cm'?

7. True or False: The inequality 2p + 3q > 12 is a linear inequality in ONE variable.

8. State all possible integer values of y that satisfy the inequality -3 < y ≤ 2.

9. Solve the linear inequality: 3x - 4 ≥ 11.

10. Solve the inequality: 7 - 2x < 15. Show your steps.