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Formula Sheet

Inequalities — Formula Sheet

ICSE · Class 7 · Mathematics

11 formulas from Inequalities (ICSE Class 7 Mathematics) on one page, grouped by topic. Part of the ICSE Class 7 Mathematics syllabus.

47 questions25 flashcards11 formulas & key relations5 concepts

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11 Entries · 4 Sections

Formulas and Key Relations

3. Rules of Inequations

x > 3 ⇒ x + 5 > 3 + 5 ⇒ x + 5 > 8

x > 4 ⇒ x × -3 < 4 × -3 ⇒ -3x < -12

-2x > 6 ⇒ (-2x)/(-2) < 6/(-2) ⇒ x < -3

4. Solving One-Variable Inequations

30 - 3(2x - 7) < 13 ⇒ 30 - 6x + 21 < 13 ⇒ -6x < -38 ⇒ 6x > 38 ⇒ x > 38/6

30 - 3(2x - 7) > 13 ⇒ x < 6 1/3

3x - 8 < 7 ⇒ 3x < 15 ⇒ x < 5

4x + 5 ≥ 1 ⇒ 4x ≥ -4 ⇒ x ≥ -1

5x - 12 ≤ 8 ⇒ 5x ≤ 20 ⇒ x ≤ 4

Replacement Set and Solution Set Examples

For x ≤ 6, x ∈ N, the solution set is {1, 2, 3, 4, 5, 6}.

For y ≤ 3, y ∈ W, the solution set is {0, 1, 2, 3}.

Key relations

3x > 5x + 7 and 5y - 15 < 0 involve only one variable. 3x ≥ 5y + 7 and 5y - 18x ≤ 0 involve two variables.

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Frequently Asked Questions

What are the important topics in Inequalities for ICSE Class 7 Mathematics?
Key topics in Inequalities include Core Ideas and Definitions, Properties of Inequations, Replacement Set and Solution Set Examples, Solving Inequations: Worked Examples. Study these first, then practise questions on each for Class 7 exams.
How many formulas are in Inequalities?
This sheet lists 11 formulas from Inequalities, grouped by topic. Learn what each symbol stands for so you can apply the formula, not just recall it.
How should I revise Inequalities for Class 7 exams?
Learn the core ideas first, then work through the 47 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.

More resources for Inequalities

All ICSE Class 7 Mathematics Formula Sheet

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