Lahore Grammar School Chapter 3 Inequalities PDF

Summary

This is a worksheet of inequalities for secondary school students. The worksheet contains questions on solving various types of inequalities and finding different categories of numbers (Prime numbers, perfect squares, perfect cubes).

Full Transcript

Lahore Grammar School Chapter 3 Name: _______________________________ Date: __________________ 1. Solve each of the following inequalities, representing each solution on the number line. a) −2𝑥 ≥ 4 b) 𝑥...

Lahore Grammar School Chapter 3 Name: _______________________________ Date: __________________ 1. Solve each of the following inequalities, representing each solution on the number line. a) −2𝑥 ≥ 4 b) 𝑥 + 4 < 3 c) −4𝑦 − 5 ≥ 11 d) −2𝑦 + 4 > 3 e) 𝑥 − 3 ≥ 7 1 2. Solve the inequality 8 − 𝑥 > 3 and represent the solution on a number line. a) If 𝑥 is a prime number, write down the largest possible value of 𝑥 that satisfies the inequality. b) Write down the positive integer value of 𝑥 that satisfies the inequality. c) Given that 𝑥 is a perfect square, find largest possible value of 𝑥. 3. Solve the inequality 3𝑥 ≤ 8𝑥 − 5 and represent the solution on a number line. a) If 𝑥 is a prime number, write down the smallest possible value of 𝑥 that satisfies the inequality. b) Write down the smallest rational value of 𝑥 that satisfies the inequality. c) Given that 𝑥 is a perfect cube, find smallest possible value of 𝑥. 2 4. Solve each of the following inequalities. a) 5(𝑥 + 3) ≥ 9 1 𝑦+1 b) > 3 2 3

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