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Linear Inequations

ICSE · Class 8 · Mathematics

Flashcards for Linear Inequations — ICSE Class 8 Mathematics. Quick Q&A cards covering key concepts, definitions, and formulas.

39 questions24 flashcards5 concepts

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24 Flashcards
Card 1Solution set in natural numbers

Solve: x < 4, where x ∈ N

Answer

Step 1: Natural numbers are 1, 2, 3, 4, ... Step 2: Pick the natural numbers less than 4. Step 3: The values are 1, 2, and 3. Answer: {1, 2, 3}…

Card 2Solution set in natural numbers

Solve: 5 < x ≤ 10, where x ∈ N

Answer

Step 1: Start with natural numbers: 1, 2, 3, ... Step 2: Values must be greater than 5 and at most 10. Step 3: The natural numbers that fit are 6, 7, 8, 9, 10. Answer: {6, 7, 8, 9, 10}…

Card 3Solution set from a given set

Solve: x > -2, where replacement set is {-4, -3, -2, -1, 0, 1, 2}

Answer

Step 1: Check each number in the replacement set. Step 2: Keep only numbers greater than -2. Step 3: The numbers are -1, 0, 1, 2. Answer: {-1, 0, 1, 2}…

Card 4Solution set from a given set

Solve: x ≤ -2, where replacement set is {-5, -4, -3, -2, -1, 0}

Answer

Step 1: Check the numbers in the replacement set. Step 2: Keep numbers less than or equal to -2. Step 3: The values are -5, -4, -3, -2. Answer: {-5, -4, -3, -2}…

Card 5Solving linear inequations

Solve: 12 + 6x > 0, where x is a negative integer

Answer

Step 1: Subtract 12 from both sides. 6x > -12 Step 2: Divide by 6. x > -2 Step 3: Negative integers greater than -2 are checked. Only -1 fits. Answer: {-1}…

Card 6Solving linear inequations

Solve: 30 - 4(2x - 1) < 30, where x is a positive integer

Answer

Step 1: Expand the bracket. 30 - 8x + 4 < 30 Step 2: Combine like terms. 34 - 8x < 30 Step 3: Subtract 34 from both sides. -8x < -4 Step 4: Divide by -8 and reverse the sign. x > 1/2 Step 5: Positive …

Card 7Solving linear inequations

Solve: -2x + 14 < 6, where x is a real number

Answer

Step 1: Subtract 14 from both sides. -2x < -8 Step 2: Divide by -2 and reverse the sign. x > 4 Answer: x > 4…

Card 8Properties of inequations

What happens when both sides of an inequation are multiplied by a negative number?

Answer

The inequality sign reverses. Example: 15 > 9 Multiply both sides by -4: 15 × -4 < 9 × -4 So, -60 < -36 This happens because multiplying by a negative number changes the order on the number line.

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Frequently Asked Questions

What are the important topics in Linear Inequations for ICSE Class 8 Mathematics?
Linear Inequations covers several key topics that are frequently asked in ICSE Class 8 board exams. Focus on the core concepts listed on this page and practise related questions to build confidence.
How to score full marks in Linear Inequations — ICSE Class 8 Mathematics?
Understand the core concepts first, then work through the 39 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 Linear Inequations?
There are 24 flashcards for Linear Inequations covering key definitions, formulas, and concepts. Use them daily for 10–15 minutes for best results.

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