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Linear Inequations Mathematics - Linear Inequations

ICSE - STD 10 - Mathematics (ICSE - English Medium). 49 questions in this chapter.

Question types

Linear Inequations question types

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

49
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 11[5 marks sum]5 Marks
Solve the following linear in-equation and graph the solution set on a real number line:
$\frac{5}{4} x>1+\frac{1}{3}(4 x-1), x \in R$
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Q 12[5 marks sum]5 Marks
Solve the following linear in-equation and graph the solution set on a real number line:
$\frac{1}{3}(5 x-8) \geq \frac{1}{2}(4 x-7), x \in R$
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Q 13[5 marks sum]5 Marks
Solve the following linear in-equation and graph the solution set on a real number line:
$\frac{1}{3}(2 x-1)<\frac{1}{4}(x+5)<\frac{1}{6}(3 x+4), x \in R$
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Q 14[5 marks sum]5 Marks
Solve the following linear in-equation and graph the solution set on a real number line:
$4 \frac{3}{4} \geq x +\frac{5}{6}>\frac{1}{3}, x \in R$
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Q 15[5 marks sum]5 Marks
Solve the following linear in-equation and graph the solution set on a real number line:
$-3 \leq \frac{1}{2}-\frac{2 x }{3} \leq 2 \frac{2}{3}, x \in N$
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Q 16[4 marks sum]4 Marks
If $P = \{x : 7x - 4 > 5x + 2, x \in R\}$ and $Q - \{x : x - 19 \geq 1 - 3x, x \in R\},$ represent the following solution set on different number lines:
$P' \cap Q$
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Q 17[4 marks sum]4 Marks
If P = {x : 7x - 4 > 5x + 2, x ∈ R} and Q - {x : x - 19 ≥ 1 - 3x, x ∈ R}, represent the following solution set on different number lines:
P ∩ Q
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Q 18[4 marks sum]4 Marks
If P = {x : 7x - 2 > 4x + 1, x ∈ R} and Q = {x : 9x - 45 ≥ 5 (x -5),x ∈ R} , represent the following solution set on different number lines:
P ∩ Q'
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Q 19[4 marks sum]4 Marks
If P = {x : 7x - 2 > 4x + 1, x ∈ R} and Q = {x : 9x - 45 ≥ 5 (x -5),x ∈ R} , represent the following solution set on different number lines:
P - Q
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Q 20[4 marks sum]4 Marks
If P = {x : 7x - 2 > 4x + 1, x ∈ R} and Q = {x : 9x - 45 ≥ 5 (x -5),x ∈ R} , represent the following solution set on different number lines:
P ∩ Q
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