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Linear Inequations Mathematics - Linear Inequations

ICSE - STD 10 - Mathematics (ICSE - English Medium). 46 questions in this chapter.

Question types

Linear Inequations question types

46 questions across 4 question groups — pick any mix to generate a Mathematics paper with step-by-step answer keys.

46
Questions
4
Question groups
5
Question types
Sample Questions

Linear Inequations questions

One sample from each question group in this chapter. Select any group above to see the full set with answer keys.

Q 1[1 Mark Question Answer]1 Mark
Given:
P = {x : 5 < 2x - 1 ≤ 11, x ∈ R}
Q = {x : -1 ≤ 3 + 4x < 23, x ∈ R}
Where R = (real number), I = (Integers) Reperesnr P and Q on number lines. Write down the elements of P ∩ Q.
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Q 11[3 marks sum]3 Marks
Solve the equation and represent the solution set on the number line.
$-3+x \leq \frac{8 x}{3}+2 \leq \frac{14}{3}+2 x$, where $x \in I$
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Q 19[4 marks sum]4 Marks
Find the values of x, which satisfy the inequation
$-2 \frac{5}{6}<\frac{1}{2}-\frac{2 x}{3} \leq 2, x \in W$. Graph the solution set on the number line.
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Q 20[4 marks sum]4 Marks
Solve the following inequation, write the solution set and represent it on the number line:
$-\frac{x}{3} \leq \frac{x}{2}-1 \frac{1}{3}<\frac{1}{6}, x \in R$
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