If solution sets P and Q are shown by two separate number lines Represent each of the following sets on different number lines P ∪ Q

Given, the two number lines. From the number line, it can be concluded that the value of x ranges from - 2 to 6 , both the numbers inclusive in the inequation P . Hence solution set P in the set builder form is x : - 2 ≤ x ≤ 6 , x ∈ R . . . . . . . . . . . ( A ) Again from the number line, it can be concluded that the value of x ranges from - 6 to 4 , both numbers inclusive in the inequation Q . Hence, solution set Q in the set builder form is x : - 6 ≤ x ≤ 4 , x ∈ R . . . . . . . . . . . ( B ) We know that P ∪ Q means collection of all elements of P and Q . From ( A ) a n d ( B ) , ∴ P ∪ Q = x : - 6 ≤ x ≤ 6 , x ∈ R This solution can be shown on number line as follows.

E M B I B E

All In One ICSE Mathematics Class 10>Algebra>Chapter 4 - Linear Inequations>CHAPTER EXERCISE

Jitender Gupta and Divya Malik Solutions for Exercise 1: Topic Exercise

Author:Jitender Gupta & Divya Malik

Jitender Gupta Mathematics Solutions for Exercise - Jitender Gupta and Divya Malik Solutions for Exercise 1: Topic Exercise

Attempt the practice questions from Exercise 1: Topic Exercise with hints and solutions to strengthen your understanding. All In One ICSE Mathematics Class 10 solutions are prepared by Experienced Embibe Experts.

Questions from Jitender Gupta and Divya Malik Solutions for Exercise 1: Topic Exercise with Hints & Solutions

MEDIUM

10th ICSE

IMPORTANT

All In One ICSE Mathematics Class 10>Chapter 4 - Linear Inequations>Topic Exercise>Q 11

If solution sets $P$ and $Q$ are shown by two separate number lines
Question Image
Represent each of the following sets on different number lines
$P \cup Q$