Lahore Grammar School Chapter 3 Inequalities PDF
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Lahore Grammar School
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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).
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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
