Draw a separate number line for the inequation - 5 < x ≤ - 4 when x ∈ N

Given inequation: - 5 < x ≤ - 4 , x ∈ N Now, the solution set is φ , null set as there is no natural number in the given range.

Draw a separate number line for the inequation - 5 < x ≤ - 2 when x ∈ W

Given inequation: - 5 < x ≤ - 2 , x ∈ N Now, the solution set is φ , null set as there is no whole number in the given range.

Draw a separate number line for the inequation - 5 < x ≤ - 4 when x ∈ Z

Given inequation: - 5 < x ≤ - 4 , x ∈ Z Now, the solution set is φ , null set as there is no integer number in the given range.

Solve the following inequation: 3 3 p + 8 ≥ - 15 , x ∈ W

Given inequation: 3 3 p + 8 ≥ - 15 , x ∈ W Now, 3 3 p + 8 ≥ - 15 ⇒ 3 3 p + 8 3 ≥ - 15 3 Dividing both sides by 3 ⇒ 3 p + 8 ≥ - 5 ⇒ 3 p + 8 - 8 ≥ - 5 - 8 Subtracting 8 from both sides ⇒ 3 p ≥ - 13 ⇒ 3 p 3 ≥ - 13 3 ⇒ p ≥ - 13 3 As solution of p is a set of whole numbers; the solution set for p is 0 , 1 , 2 , 3 , 4 . . . . .

Solve the following inequation: 4 < 5 x + 1 < 6 , x ∈ W

Given inequation: 4 < 5 x + 1 < 6 , x ∈ W Now, 4 < 5 x + 1 ⇒ 5 x + 1 > 4 ⇒ 5 x + 1 5 > 4 5 Dividing both sides by 5 ⇒ x + 1 > 4 5 ⇒ x + 1 - 1 > 4 5 - 1 Subtracting 1 from both sides ⇒ x > - 1 5 Also, 5 x + 1 < 6 ⇒ 5 x + 1 5 < 6 5 ⇒ x + 1 < 6 5 ⇒ x < 6 5 - 1 ⇒ x < 1 5 So, - 1 5 < x < 1 5 As solution of x is a set of whole numbers; the solution set for x is 0

E M B I B E

Cambridge connection Mathematics>Chapter 7 - Linear Equations and Inequations>Let's Practice

Prakash Tiwari and Ishita Joshi Solutions for Chapter: Linear Equations and Inequations, Exercise 4: Let's Practice

Author:Prakash Tiwari & Ishita Joshi

Prakash Tiwari Mathematics Solutions for Exercise - Prakash Tiwari and Ishita Joshi Solutions for Chapter: Linear Equations and Inequations, Exercise 4: Let's Practice

Attempt the free practice questions on Chapter 7: Linear Equations and Inequations, Exercise 4: Let's Practice with hints and solutions to strengthen your understanding. Cambridge connection Mathematics solutions are prepared by Experienced Embibe Experts.