List all the elements of the following sets:(i) A={x:x is an odd natural number}(ii) B={x:x is an integer,2−1<x<29}(iii) C={x:x is an integer,x2≤4}(iv) D={x:x is a letter in the word LOYAL}(v) E={x:x is a month of a year not having 31 days}(vi) F={x:x is a consonant in the English alphabet which precedes k}

Get 2 FREE Instant-Explanations on Filo with code FILOAPP

List all the elements of the following sets: (i) A = {x : x

Question

List all the elements of the following sets:
(i) $A = {x : x is an odd natural number}$
(ii) $B = {x : x is an integer, \frac{- 1}{2} < x < \frac{9}{2}}$
(iii) $C = {x : x is an integer, x^{2} \leq 4}$
(iv) $D = {x : x is a letter in the word LOYAL}$
(v) $E = {x : x is a month of a year not having 31 days}$
(vi) $F = {x : x is a consonant in the English alphabet which precedes k}$

Views: 1,027 students

Found 6 tutors discussing this question

Asher Discussed

List all the elements of the following sets:
(i)

A = {x : x is an odd natural number}

(ii)

B = {x : x is an integer, \frac{- 1}{2} < x < \frac{9}{2}}

(iii)

C = {x : x is an integer, x^{2} \leq 4}

(iv)

D = {x : x is a letter in the word LOYAL}

(v)

E = {x : x is a month of a year not having 31 days}

(vi)

F = {x : x is a consonant in the English alphabet which precedes k}

13 mins ago

Discuss this question LIVE

13 mins ago

(i)

A = {x : x is an odd natural number} = {1, 3, 5, 7, 9.....}

(ii)

B = {x : x is an integer, - \frac{1}{2} < x < \frac{9}{2}}

Since,

- \frac{1}{2} = - 0.5

and

\frac{9}{2} = 4.5

∴ B = {0, 1, 2, 3, 4}

(iii)

C = {x : x is an integer; x^{2} \leq 4}

It can be seen that

(- 1)^{2} = 1 \leq 4

; (- 2)^{2} = 4 \leq 4

; (- 3)^{2} = 9 > 4

0^{2} = 0 \leq 4

1^{2} = 1 \leq 4

2^{2} = 4 \leq 4

3^{2} = 9 > 4

∴ C = {- 2, - 1, 0, 1, 2}

(iv)

D = {x : x is a letter in the word LOYAL} = {L, O, Y, A}

(v)

E = {x : x is a month of a year not having 31 days}

= {February, April, June, September, November}

(vi)

F = {x : x is a consonant in the English alphabet which precedes k} = {b, c, d, f, g, h, j}

Was this solution helpful?

150

Report

One destination to cover all your homework and assignment needs

Learn Practice Revision Succeed

Instant 1:1 help, 24x7

60, 000+ Expert tutors

Textbook solutions

Big idea maths, McGraw-Hill Education etc

Essay review

Get expert feedback on your essay

Schedule classes

High dosage tutoring from Dedicated 3 experts

Trusted by 4 million+ students

Stuck on the question or explanation?

Connect with our math tutors online and get step by step solution of this question.

231 students are taking LIVE classes

Question Text	List all the elements of the following sets: (i) $A = {x : x is an odd natural number}$ (ii) $B = {x : x is an integer, \frac{- 1}{2} < x < \frac{9}{2}}$ (iii) $C = {x : x is an integer, x^{2} \leq 4}$ (iv) $D = {x : x is a letter in the word LOYAL}$ (v) $E = {x : x is a month of a year not having 31 days}$ (vi) $F = {x : x is a consonant in the English alphabet which precedes k}$
Answer Type	Text solution:1
Upvotes	150