## ML Aggarwal Class 10 Solutions for ICSE Maths Chapter 4 Linear Inequations MCQS

These Solutions are part of ML Aggarwal Class 10 Solutions for ICSE Maths. Here we have given ML Aggarwal Class 10 Solutions for ICSE Maths Chapter 4 Linear Inequations MCQS

**More Exercises**

- ML Aggarwal Class 10 Solutions for ICSE Maths Chapter 4 Linear Inequations Ex 4
- ML Aggarwal Class 10 Solutions for ICSE Maths Chapter 4 Linear Inequations MCQS
- ML Aggarwal Class 10 Solutions for ICSE Maths Chapter 4 Linear Inequations Chapter Test

**Choose the correct answer from the given four options (1 to 5) :**

**Question 1.**

**If x ∈ { – 3, – 1, 0, 1, 3, 5}, then the solution set of the inequation 3x – 2 ≤ 8 is**

**(a) { – 3, – 1, 1, 3}**

**(b) { – 3, – 1, 0, 1, 3}**

**(c) { – 3, – 2, – 1, 0, 1, 2, 3}**

**(d) { – 3, – 2, – 1, 0, 1, 2}**

**Solution:**

x ∈ { -3, -1, 0, 1, 3, 5}

3x – 2 ≤ 8

⇒ 3x ≤ 8 + 2

⇒ 3x ≤ 10

⇒ x ≤ \(\\ \frac { 10 }{ 3 } \)

⇒ x < \(3 \frac { 1 }{ 3 } \)

Solution set = { -3, -1, 0, 1, 3} (b)

**Question 2.**

**If x ∈ W, then the solution set of the inequation 3x + 11 ≥ x + 8 is**

**(a) { – 2, – 1, 0, 1, 2, …}**

**(b) { – 1, 0, 1, 2, …}**

**(c) {0, 1, 2, 3, …}**

**(d) {x : x∈R,x≥\(– \frac { 3 }{ 2 } \)}**

**Solution:**

x ∈ W

3x + 11 ≥ x + 8

⇒ 3x – x ≥ 8 – 11

**Question 3.**

**If x ∈ W, then the solution set of the inequation 5 – 4x ≤ 2 – 3x is**

**(a) {…, – 2, – 1, 0, 1, 2, 3}**

**(b) {1, 2, 3}**

**(c) {0, 1, 2, 3}**

**(d) {x : x ∈ R, x ≤ 3}**

**Solution:**

x ∈ W

5 – 4x < 2 – 3x

⇒ 5 – 2 ≤ 3x + 4x

⇒ 3 ≤ x

Solution set = {0, 1, 2, 3,} (c)

**Question 4.**

**If x ∈ I, then the solution set of the inequation 1 < 3x + 5 ≤ 11 is**

**(a) { – 1, 0, 1, 2}**

**(b) { – 2, – 1, 0, 1}**

**(c) { – 1, 0, 1}**

**(d) {x : x ∈ R, \(– \frac { 4 }{ 3 } \) < x ≤ 2}**

**Solution:**

x ∈ I

1 < 3x + 5 ≤ 11

⇒ 1 < 3x + 5

⇒ 1 – 5 < 3x

**Question 5.**

**If x ∈ R, the solution set of 6 ≤ – 3 (2x – 4) < 12 is**

**(a) {x : x ∈ R, 0 < x ≤ 1}**

**(b) {x : x ∈ R, 0 ≤ x < 1}**

**(c) {0, 1}**

**(d) none of these**

**Solution:**

x ∈ R

6 ≤ – 3(2x – 4) < 12

⇒ 6 ≤ – 3(2x – 4)

⇒ 6 ≤ – 6x + 12

Hope given ML Aggarwal Class 10 Solutions for ICSE Maths Chapter 4 Linear Inequations MCQS are helpful to complete your math homework.

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