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

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

Question 1.

Solve the inequation : 5x – 2 ≤ 3(3 – x) where x ∈ { – 2, – 1, 0, 1, 2, 3, 4}. Also represent its solution on the number line.

Solution:

Question 2.

Solve the inequations :

6x – 5 < 3x + 4, x ∈ I.

Solution:

Question 3.

Find the solution set of the inequation

x + 5 < 2 x + 3 ; x ∈ R

Graph the solution set on the number line.

Solution:

Question 4.

If x ∈ R (real numbers) and -1 < 3 – 2x ≤ 7, find solution set and represent it on a number line.

Solution:

Question 5.

Solve the inequation :

\(\frac { 5x+1 }{ 7 } -4\left( \frac { x }{ 7 } +\frac { 2 }{ 5 } \right) \le 1\frac { 3 }{ 5 } +\frac { 3x-1 }{ 7 } ,x\in R\)

Solution:

Question 6.

Find the range of values of a, which satisfy 7 ≤ -4x + 2 < 12, x ∈ R. Graph these values of an on the real number line.

Solution:

Question 7.

If x ∈ R, solve \(2x-3\ge x+\frac { 1-x }{ 3 } >\frac { 2 }{ 5 } x\)

Solution:

Question 8.

Find positive integers which are such that if 6 is subtracted from five times the integer then the resulting number cannot be greater than four times the integer.

Solution:

Question 9.

Find three smallest consecutive natural numbers such that the difference between one-third of the largest and one-fifth of the smallest is at least 3.

Solution: