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Linear Inequation — Practice Quiz

ICSE · Class 10 · Mathematics

Try a 4-question quiz on Linear Inequation for ICSE Class 10 Mathematics: tap an answer to check it and see why. 29 questions in the full chapter test.

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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Quick Quiz: Linear Inequation

0/4

Tap an answer to check it instantly. No sign-up needed for these 4.

1

Solve the inequation 2x + 5 > 11 for x ∈ R.

2

If 3x - 7 ≤ 8, find the solution when x ∈ N (natural numbers).

3

The solution of 5x - 3 < 2x + 9 is:

4

Solve: x/3 + 2 ≥ 5 for x ∈ Z (integers).

29 Questions·
multiple choicemultiple correct

Sample Questions

1multiple correct

Which of the following are solutions to -2x + 6 ≥ 0?

Show answer

x = 3, x = 2, x = 1, x = 0

-2x + 6 ≥ 0 Subtract 6: -2x ≥ -6 Divide by -2 (reverse inequality): x ≤ 3 So x = 3, 2, 1, 0 are correct, but x = 4 is not since 4 > 3.

2multiple choice

Which inequality represents all real numbers greater than -2 but less than or equal to 5?

Show answer

-2 < x ≤ 5

The phrase 'greater than -2' means x > -2 (not equal to -2) The phrase 'less than or equal to 5' means x ≤ 5 Combining: -2 < x ≤ 5

3multiple choice

If -3x > 12, then x =

Show answer

x < -4

-3x > 12 Divide both sides by -3 (reverse the inequality sign): x < -4 When dividing by a negative number, we must reverse the inequality sign.

4multiple correct

Which of the following represent the solution x ≥ 3 on a number line?

Show answer

A filled circle at 3 with arrow pointing right, A closed interval starting at 3, A thick line from 3 extending to the right

x ≥ 3 means x is greater than or equal to 3. On a number line: - Use a filled/closed circle at 3 (because x = 3 is included) - Draw an arrow or thick line extending to the right (for x > 3)

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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 practice questions are there for Linear Inequation?
There are 29 questions on Linear Inequation. Try the 4-question sample quiz on this page first; each answer shows an explanation when you tap it.

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

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