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Inequalities — Flashcards

ICSE · Class 11 · Mathematics

36 flashcards for Inequalities (ICSE Class 11 Mathematics) to test yourself on key terms and facts. Sample: "Solve: x - 5 > 0"

58 questions36 flashcards11 formulas & key relations5 concepts

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An infographic classifying different types of inequalities based on variables, symbols, and degree, including numerical, literal, strict, slack, linear in one variable, linear in two variables, and qu
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36 Flashcards·
Linear inequality in one variableDomain-based solution set
Card 1Linear inequality in one variable

Solve: x - 5 > 0

Answer

Step 1: Add 5 to both sides. x - 5 + 5 > 0 + 5 Step 2: Simplify. x > 5 Answer: x > 5…

Card 2Linear inequality in one variable

Solve: x + 2 < 12

Answer

Step 1: Subtract 2 from both sides. x + 2 - 2 < 12 - 2 Step 2: Simplify. x < 10 Answer: x < 10…

Card 3Linear inequality in one variable

Solve: (x)/(2) ≤ 3

Answer

Step 1: Multiply both sides by 2. (x)/(2) × 2 ≤ 3 × 2 Step 2: Simplify. x ≤ 6 Answer: x ≤ 6…

Card 4Linear inequality in one variable

Solve: -(x)/(5) > 10

Answer

Step 1: Multiply both sides by -5. -5 × [-(x)/(5)] < -5 × 10 Step 2: Reverse the sign because the multiplier is negative. x < -50 Answer: x < -50 Common mistake: forgetting to reverse the inequal…

Card 5Linear inequality in one variable

Solve: 4x ≥ 8

Answer

Step 1: Divide both sides by 4. (4x)/(4) ≥ 8/4 Step 2: Simplify. x ≥ 2 Answer: x ≥ 2…

Card 6Linear inequality in one variable

Solve: -2x < 3

Answer

Step 1: Divide both sides by -2. (-2x)/(-2) > 3/(-2) Step 2: Reverse the sign because division is by a negative number. x > -(3)/(2) Answer: x > -3/2…

Card 7Domain-based solution set

Solve: 3x + 8 > 2 when x is an integer

Answer

Step 1: Subtract 8 from both sides. 3x > -6 Step 2: Divide by 3. x > -2 Step 3: Use integer values greater than -2. Answer: {-1, 0, 1, ...}…

Card 8Domain-based solution set

Solve: 3x + 8 > 2 when x is a real number

Answer

Step 1: Subtract 8 from both sides. 3x > -6 Step 2: Divide by 3. x > -2 Step 3: Write the solution set in interval form. Answer: (-2, ∞)…

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Frequently Asked Questions

What are the important topics in Inequalities for ICSE Class 11 Mathematics?
Key topics in Inequalities include Basic Ideas and Types of Inequalities, Rules for Simplifying Inequalities, Linear Inequalities and Domain-Based Answers, Compound Inequalities. Study these first, then practise questions on each for Class 11 exams.
How many flashcards are available for Inequalities?
There are 36 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 11 exams?
Learn the core ideas first, then work through the 58 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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