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Byju's Answer

Standard XII

Mathematics

Universal Set

If A = 4, 5, ...

Question

If A = {4, 5, 6, 7, 8} and B = {6, 8, 10, 12}, find :
(i) A∪B
(ii) A∩B
(iii) A-B
(iv) B-A

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Solution

(i) A∪B

We know that

A∪B = {All the elements from set A and all the elements from set B} = {4, 5, 6, 7, 8, 10, 12}

(ii) A∩B

We know that

A∩B = {Elements which are common to both the sets A and B} = {6, 8}

(iii) A-B

We know that

A – B = {Elements of set A which are not in set B} = {4, 5, 7}

(iv) B-A

We know that

B – A = {Elements of set B which are not in set A} = {10, 12}

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Similar questions

Add and express the sum as mixed fraction: (i) $\frac{- 12}{5} a n d \frac{43}{10}$ (ii) $\frac{24}{7} a n d \frac{- 11}{4}$ (iii) $\frac{- 31}{6} a n d \frac{- 27}{8}$ (iv) $\frac{101}{6} a n d \frac{7}{8}$

Q. Find an integer a such that
(i) a + 6 = 0
(ii) 5 + a = 0
(iii) a + (−4) = 0
(iv) −8 + a = 0

Q. If

A = {1, 2, 3, 4}, B = {3, 4, 5, 6}, C = {5, 6, 7, 8}

and

D = {7, 8, 9, 10}

; find
(i)

A \cup B

(ii)

A \cup C

(iii)

B \cup C

(iv)

B \cup D

(v)

A \cup B \cup C

(vi)

A \cup B \cup D

(vii)

B \cup C \cup D

Now can’t you compute these?

(i) −4 − (−5)

(ii) −6 − (−9)

(iii) −12 − (−10)

(iv) −8 − (−7)

(v)

Which of the following sets of data make FG || BC?

(i) AB = 14, AF = 6, AC = 7, AG = 3.

(ii) AB = 12, FB = 3, AC = 8, AG = 6.

(iii) AF = 6, FB = 5, AG = 9, GC = 8.

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If A = {4, 5, 6, 7, 8} and B = {6, 8, 10, 12}, find : (i) A∪B (ii) A∩B (iii) A-B (iv) B-A

If A = {4, 5, 6, 7, 8} and B = {6, 8, 10, 12}, find :
(i) A∪B
(ii) A∩B
(iii) A-B
(iv) B-A