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Linear Inequation — Flashcards

ICSE · Class 10 · Mathematics

27 flashcards for Linear Inequation (ICSE Class 10 Mathematics) to test yourself on key terms and facts. Part of the ICSE Class 10 Mathematics syllabus.

29 questions27 flashcards12 formulas & key relations5 concepts

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A single diagram illustrating closed, open, and semi-open/semi-closed intervals on a number line, showing the notation and graphical representation for each type.
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27 Flashcards·
Solving linear inequations in natural numbersSolving linear inequations in integersSolving linear inequations with natural number replacement setSolving linear inequations with whole number replacement setSolving linear inequations with integer replacement setSolving linear inequations in real numbersSolving inequations with bracketsSolving inequations with fractions
Card 1Solving linear inequations in natural numbers

Solve: 13x < 200 when x is a natural number.

Answer

Step 1: Divide both sides by 13. 13x < 200 x < 200/13 x < 15 5/13 Step 2: Choose natural numbers less than 15 5/13. Answer: {15, 14, 13, 12, 11, 10, ..., 3, 2, 1}…

Card 2Solving linear inequations in integers

Solve: 13x < 200 when x is an integer.

Answer

Step 1: Divide both sides by 13. 13x < 200 x < 200/13 x < 15 5/13 Step 2: Choose integers less than 15 5/13. Answer: {..., -3, -2, -1, 0, 1, 2, 3, 4, 5, ..., 15}…

Card 3Solving linear inequations with natural number replacement set

Solve: 3 - 2x ≥ x - 12 for x ∈ N.

Answer

Step 1: Bring variable terms to one side and numbers to the other. 3 - 2x ≥ x - 12 3 + 12 ≥ x + 2x 15 ≥ 3x Step 2: Divide by 3. 5 ≥ x Step 3: Write natural number values. Answer: {1, 2, 3, 4, 5}…

Card 4Solving linear inequations with whole number replacement set

Solve: 7 + 3x ≤ 35 - 2x for whole numbers.

Answer

Step 1: Collect x terms on one side. 7 + 3x ≤ 35 - 2x 3x + 2x ≤ 35 - 7 5x ≤ 28 Step 2: Divide by 5. x ≤ 5 3/5 Step 3: Choose whole numbers. Answer: {0, 1, 2, 3, 4, 5}…

Card 5Solving linear inequations with integer replacement set

Solve: 2x - 3/2 ≥ 6 - 5x for integers.

Answer

Step 1: Add 5x to both sides. 2x - 3/2 + 5x ≥ 6 7x - 3/2 ≥ 6 Step 2: Add 3/2 to both sides. 7x ≥ 6 + 3/2 7x ≥ 15/2 Step 3: Divide by 7. x ≥ 15/14 x ≥ 1 1/14 Step 4: Choose integers. Answer: {2, 3, 4, …

Card 6Solving linear inequations in real numbers

Solve: 3x + 1 ≥ 10 for real numbers.

Answer

Step 1: Subtract 1 from both sides. 3x ≥ 9 Step 2: Divide by 3. x ≥ 3 Answer: x ≥ 3…

Card 7Solving inequations with brackets

Solve: 2(2x + 3) - 10 < 6(x - 2).

Answer

Step 1: Expand both sides. 4x + 6 - 10 < 6x - 12 4x - 4 < 6x - 12 Step 2: Bring x terms together. -4 + 12 < 6x - 4x 8 < 2x Step 3: Divide by 2. 4 < x Answer: x > 4…

Card 8Solving inequations with fractions

Solve: (x - 2)/3 ≥ 2.

Answer

Step 1: Multiply both sides by 3. x - 2 ≥ 6 Step 2: Add 2 to both sides. x ≥ 8 Answer: x ≥ 8…

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Frequently Asked Questions

What are the important topics in Linear Inequation for ICSE Class 10 Mathematics?
Key topics in Linear Inequation include Core Ideas and Definitions, Rules of Inequality and Interval Notation, Worked Examples and Standard Question Types. Study these first, then practise questions on each for the ICSE Class 10 board exam.
How many flashcards are available for Linear Inequation?
There are 27 flashcards for Linear Inequation covering key definitions, facts and ideas. A few sample cards are shown on this page.
How should I revise Linear Inequation for the ICSE Class 10 board exam?
Learn the core ideas first, then work through the 29 practice questions on Linear Inequation. Revise definitions regularly and use flashcards for quick recall before the exam.

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

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