## ML Aggarwal Class 7 Solutions for ICSE Maths Chapter 9 Linear Equations and Inequalities Ex 9.3

Question 1.

If the replacement set is (- 5, – 3, – 1, 0, 1, 3, 4), find the solution set of:

(i) x < -2

(ii) x > 1

(iii) x ≥ -1

(iv) -5 < x < 3

(v) -3 ≤ x < 4

(vi) 0 ≤ x < 7.

Solution:

Question 2.

Represent the following inequations graphically:

(i) x ≤ 3, x ∈ N

(ii) x < 4, x ∈ W

(iii) -2 ≤ x < 4, x ∈ I

(iv) -3 ≤ x ≤ 2, x ∈ I

Solution:

Question 3.

Solve the following inequations.

(i) 4 – x > -2, x ∈ N

(ii) 3x + 1 ≤ 8, x ∈ W

Also represent their solutions on the number line.

Solution:

Question 4.

Solve 3 – 4x < x – 12, x ∈ {-1, 0, 1, 2, 3, 4, 5, 6, 7}.

Solution:

Question 5.

Solve -7 < 4x + 1 ≤ 23, x ∈ I.

Solution: