Write the following set in roster form B = p : p ∈ W and p 2 < 20

Given set, B = p : p ∈ W and p 2 < 20 Here W represents the set of whole numbers. W = 0 , 1 , 2 , 3 , 4 , 5 , 6 , 7 . . . . . . . Since, p ∈ W p 2 = 0 , 1 , 4 , 9 , 16 , 25 , 26 , 49 , . . . . . . But, p 2 < 20 Hence, the required set is p = 0 , 1 , 2 , 3 , 4 .

List the elements of the following set x : x = 2 y + 5 ; y ∈ N and 2 ≤ y < 6

x : x = 2 y + 5 ; y ∈ N and 2 ≤ y < 6 Here N represents the set of natural numbers. N = 0 , 1 , 2 , 3 , 4 , 5 , 6 , 7 . . . . . . . Since y ∈ N , and, 2 ≤ y < 6 y = 2 , 3 , 4 , 5 x = 2 y + 5 Hence, the required set is 9 , 11 , 13 , 15

List the elements of the following set x : x ∈ Z and x 2 ≤ 4

Given set, x : x ∈ Z and x 2 ≤ 4 Here Z represents the set of integers. Z = . . . . . . . - 5 , - 4 , - 3 , - 2 , - 1 , 0 , 1 , 2 , 3 , 4 , 5 . . . . . . . Since, x ∈ Z x 2 = . . . . . . . 25 , 16 , 9 , 4 , 1 , 0 , 1 , 4 , 9 , 16 , 25 . . . . . . . But, x 2 ≤ 4 Repeated elements in the set are considered only once. Hence, the required set is x 2 = - 2 , - 1 , 0 , 1 , 2 .

List the elements of the following set x : 3 x - 2 ≤ 10 and x ∈ N

x : 3 x - 2 ≤ 10 and x ∈ N Here N represents the set of natural numbers. Since x ∈ N , x = 1 , 2 , 3 , 4 , 5 . . . . . . . 3 x - 2 = 1 , 4 , 7 , 10 , 13 , . . . . . . . 3 x - 2 ≤ 10 Hence, the required set is x = 1 , 2 , 3 , 4

List the elements of the following set x : 4 - 2 x > - 6 ; x ∈ Z

Given set is, x : 4 - 2 x > - 6 ; x ∈ Z Here Z represents the set of integers. Since x ∈ Z , x = . . . . . . . - 6 , - 5 , - 4 , - 3 , - 2 , - 1 , 0 , 1 , 2 , 3 , 4 , 5 , 6 . . . . . . . 4 - 2 x = . . . . . . . . . 16 , 14 , 12 , 10 , 8 , 6 , 4 , 2 , 0 , - 2 , - 4 , - 6 , - 8 4 - 2 x > - 6 for the values x = . . . . . . . - 6 , - 5 , - 4 , - 3 , - 2 , - 1 , 0 , 1 , 2 , 3 , 4 Hence, the required set is x = . . . . . . . - 6 , - 5 , - 4 , - 3 , - 2 , - 1 , 0 , 1 , 2 , 3 , 4

E M B I B E

Concise Mathematics Middle School Class 8>Chapter 6 - Sets>EXERCISE 6(A)

R K Bansal Solutions for Chapter: Sets, Exercise 1: EXERCISE 6(A)

Author:R K Bansal

R K Bansal Mathematics Solutions for Exercise - R K Bansal Solutions for Chapter: Sets, Exercise 1: EXERCISE 6(A)

Attempt the free practice questions on Chapter 6: Sets, Exercise 1: EXERCISE 6(A) with hints and solutions to strengthen your understanding. Concise Mathematics Middle School Class 8 solutions are prepared by Experienced Embibe Experts.