The inequation 3x -11 < 3 where x ∈ {1, 2, 3,......, 10}.

Solve the inequation 3x -11 < 3 where x ∈ {1, 2, 3,……, 10}. Also represent its solution on a number line

Solution:

3x – 11 < 3 => 3x < 3 + 11 => 3x < 14 x < \\ \frac { 14 }{ 3 }
But x ∈ 6 {1, 2, 3, ……., 10}
Solution set is (1, 2, 3, 4}
Ans. Solution set on number line
ML Aggarwal Class 10 Solutions for ICSE Maths Chapter 4 Linear Inequations Ex 4 Q1.1

Solve 2(x – 3)< 1, x ∈ {1, 2, 3, …. 10}

Solution:

2(x – 3) < 1 => x – 3 < \\ \frac { 1 }{ 2 } => x < \\ \frac { 1 }{ 2 } + 3 => x < 3 \frac { 1 }{ 2 }
But x ∈ {1, 2, 3 …..10}
Solution set = {1, 2, 3} Ans.
ML Aggarwal Class 10 Solutions for ICSE Maths Chapter 4 Linear Inequations Ex 4 Q2.1

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