Represent the value of x on the number line : - x > - 2 , x ∈ W

The given inequation is, - x > - 2 . Whenever both sides are multiplied or divided by a negative number, the inequality sign changes its direction. ⇒ x < 2 Since x ∈ W (set of whole numbers). According to the given, We take whole numbers less than 2 . The solution set for the given inequation is, 0 , 1 . The diagrammatic representation of inequality is,

Represent the value of x on the number line : - 5 < x ≤ 0 , x ∈ I

The given inequation is, - 5 < x ≤ 0 . Since x ∈ I (set of integers). According to the given, We take integers, greater than - 5 and less than or equal 0 . The solution set for the given inequation is, { - 4 , - 3 , - 2 , - 1 , 0 } . The diagrammatic representation of inequality is,

Represent the value of x on the number line : - 2 ≤ x ≤ 1 , x ∈ I

The given inequation is, - 2 ≤ x ≤ 1 . Since x ∈ I (set of integers). According to the given, We take integers, greater than or equal - 2 and less than or equal 1 . The solution set for the given inequation is, { - 2 , - 1 , 0 , 1 } . The diagrammatic representation of inequality is,

Solve : 3 x - 1 4 ≤ 8 , x ∈ N

The given inequation is, 3 x - 1 4 ≤ 8 . We first find the inequation in terms of x . ⇒ 3 x - 1 ≤ 32 ⇒ 3 x ≤ 32 + 1 ⇒ x ≤ 33 3 ⇒ x ≤ 11 Since x ∈ N (set of natural numbers). According to the given, We take natural numbers less than or equal 11 . Hence, the solution set for the given inequation is, { 1 , 2 , 3 , 4 , 5 , 6 , 7 , 8 , 9 , 10 , 11 } .

Solve : 2 x - 5 3 < 3 , x ∈ N

The given inequation is, 2 x - 5 3 < 3 . We first find the inequation in terms of x . ⇒ 2 x - 5 < 9 ⇒ 2 x < 9 + 5 ⇒ x < 14 2 ⇒ x < 7 Since x ∈ N (set of natural numbers). According to the given, We take natural numbers less than 7 . Hence, the solution set for the given inequation is, { 1 , 2 , 3 , 4 , 5 , 6 } .

E M B I B E

ICSE Skills In Mathematics>Algebra>Chapter 20 - Linear Equations and Inequations>EXERCISE

V K Raman and S N Sharma Solutions for Exercise 1: EXERCISE

Author:V K Raman & S N Sharma

V K Raman Mathematics Solutions for Exercise - V K Raman and S N Sharma Solutions for Exercise 1: EXERCISE

Attempt the free practice questions from Exercise 1: EXERCISE with hints and solutions to strengthen your understanding. ICSE Skills In Mathematics solutions are prepared by Experienced Embibe Experts.