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Inequalities — Flashcards

ICSE · Class 7 · Mathematics

25 flashcards for Inequalities (ICSE Class 7 Mathematics) to test yourself on key terms and facts. Sample: "Solve: x > 8, x ∈ N"

47 questions25 flashcards11 formulas & key relations5 concepts

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25 Flashcards·
Reading inequalitiesSolution setReplacement set and solution setProperty 1Property 2Property 4
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?
Key topics in Inequalities include Core Ideas and Definitions, Properties of Inequations, Replacement Set and Solution Set Examples, Solving Inequations: Worked Examples. Study these first, then practise questions on each for Class 7 exams.
How many flashcards are available for Inequalities?
There are 25 flashcards for Inequalities covering key definitions, facts and ideas. A few sample cards are shown on this page.
How should I revise Inequalities for Class 7 exams?
Learn the core ideas first, then work through the 47 practice questions on Inequalities. Revise definitions regularly and use flashcards for quick recall before the exam.

Sources & Official References

Content is aligned to the official syllabus. Refer to the board website for the latest curriculum.

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