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Linear Inequations — Flashcards

ICSE · Class 8 · Mathematics

24 flashcards for Linear Inequations (ICSE Class 8 Mathematics) to test yourself on key terms and facts. Sample: "Solve: x < 4, where x ∈ N"

39 questions24 flashcards12 formulas & key relations5 concepts

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24 Flashcards·
Solution set in natural numbersSolution set from a given setSolving linear inequationsProperties of inequations
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?
Key topics in Linear Inequations include Basic Ideas and Definitions, Replacement Set and Solution Set, Properties of Inequations, Number Line Representation. Study these first, then practise questions on each for Class 8 exams.
How many flashcards are available for Linear Inequations?
There are 24 flashcards for Linear Inequations covering key definitions, facts and ideas. A few sample cards are shown on this page.
How should I revise Linear Inequations for Class 8 exams?
Learn the core ideas first, then work through the 39 practice questions on Linear Inequations. 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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