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Inequalities

ICSE · Class 7 · Mathematics

Flashcards for Inequalities — ICSE Class 7 Mathematics. Quick Q&A cards covering key concepts, definitions, and formulas.

47 questions25 flashcards5 concepts

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25 Flashcards
Card 1Reading inequalities

Solve: x > 8, x ∈ N

Answer

Step 1: Read the inequality as x is greater than 8. Step 2: Since x belongs to N, choose natural numbers only. Step 3: The natural numbers greater than 8 are 9, 10, 11, and so on. Answer: {9, 10, 11, …

Card 2Solution set

Solve: x ≤ 6, x ∈ N

Answer

Step 1: x ≤ 6 means x is less than or equal to 6. Step 2: The replacement set is N, so only natural numbers are allowed. Step 3: List all natural numbers up to 6. Answer: {1, 2, 3, 4, 5, 6}…

Card 3Solution set

Solve: y ≤ 3, y ∈ W

Answer

Step 1: y ≤ 3 means y is less than or equal to 3. Step 2: The replacement set is W, so use whole numbers. Step 3: Whole numbers up to 3 are 0, 1, 2, 3. Answer: {0, 1, 2, 3}…

Card 4Solution set

Solve: -2 ≤ x < 2, x ∈ I

Answer

Step 1: x must be at least -2. Step 2: x must be less than 2, so 2 is not included. Step 3: From the integers, list the values between these limits. Answer: {-2, -1, 0, 1}…

Card 5Replacement set and solution set

Solve: -5 ≤ x ≤ 4, x ∈ N

Answer

Step 1: x must lie between -5 and 4, including both ends. Step 2: The replacement set is N, so only natural numbers can be chosen. Step 3: The natural numbers in this range are 1, 2, 3, 4. Answer: {1,…

Card 6Property 1

Add 5 to both sides of: x > 3

Answer

Step 1: Start with x > 3. Step 2: Add 5 to each side. Step 3: x + 5 > 3 + 5. Step 4: Simplify. Answer: x + 5 > 8…

Card 7Property 2

Subtract 7 from both sides of: x + 5 ≥ 8

Answer

Step 1: Start with x + 5 ≥ 8. Step 2: Subtract 7 from each side. Step 3: x + 5 - 7 ≥ 8 - 7. Step 4: Simplify. Answer: x - 2 ≥ 1…

Card 8Property 4

Multiply both sides of: x > 4 by -3

Answer

Step 1: Start with x > 4. Step 2: Multiply both sides by -3. Step 3: The sign reverses because the number is negative. Step 4: x × -3 < 4 × -3. Step 5: Simplify. Answer: -3x < -12…

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Frequently Asked Questions

What are the important topics in Inequalities for ICSE Class 7 Mathematics?
Inequalities covers several key topics that are frequently asked in ICSE Class 7 board exams. Focus on the core concepts listed on this page and practise related questions to build confidence.
How to score full marks in Inequalities — ICSE Class 7 Mathematics?
Understand the core concepts first, then work through the 47 practice questions available for this chapter. Revise formulas and definitions regularly, and use flashcards for quick recall before the exam.
How many flashcards are available for Inequalities?
There are 25 flashcards for Inequalities covering key definitions, formulas, and concepts. Use them daily for 10–15 minutes for best results.

Sources & Official References

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