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Inequalities

ICSE · Class 11 · Mathematics

Flashcards for Inequalities — ICSE Class 11 Mathematics. Quick Q&A cards covering key concepts, definitions, and formulas.

58 questions36 flashcards5 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
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 Complete Inequalities Concept Map, Complete Inequalities Concept Map, Types of Inequalities Overview. These are the concepts ICSE Class 11 examiners draw on most — study them first, then practise related questions.
How to score full marks in Inequalities — ICSE Class 11 Mathematics?
Understand the core concepts first, then work through the 58 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 36 flashcards for Inequalities covering key definitions, formulas, and concepts. Use them daily for 10–15 minutes for best results.

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