MyQuestionIcon

1

You visited us 1 times! Enjoying our articles? Unlock Full Access!

Union

If A =2,3,4,8...

Question

If $A = {2, 3, 4, 8, 10},$ $B = {3, 4, 5, 10, 12},$ $C = {4, 5, 6, 12, 14},$ then $(A \cup B) \cap (A \cup C)$ is

A

{2, 3, 4, 5, 8, 10, 12}

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

B

{2, 4, 8, 10, 12}

No worries! We‘ve got your back. Try BYJU‘S free classes today!

C

{3, 8, 10, 12}

No worries! We‘ve got your back. Try BYJU‘S free classes today!

D

{2, 8, 10,}

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

Solution

The correct option is A ${2, 3, 4, 5, 8, 10, 12}$
$A \cup B = {2, 3, 4, 5, 8, 10, 12} A \cup C = {2, 3, 4, 5, 6, 8, 10, 12, 14} \Rightarrow (A \cup B) \cap (A \cup C) = {2, 3, 4, 5, 8, 10, 12}$

Suggest Corrections

thumbs-up

20

Similar questions

A = {2, 3, 4, 8, 10},

B = {3, 4, 5, 10, 12},

C = {4, 5, 6, 12, 14}

(A \cup B) \cap (A \cup C)

A = {2, 3, 4, 8, 10}, B = (3, 4, 5, 10, 12}, C = {4, 5, 6, 12, 14}

(A \cap B) \cup (A \cap C)

A = {2, 3, 4, 8, 10}, B = {3, 4, 5, 10, 12}

C = {4, 5, 6, 12, 14}

n (A \cup B) \cap (A \cup C)

A = {2, 3, 4, 8, 10}

B = {3, 4, 5, 10, 12}

C = {4, 5, 6, 12, 14}

(A \cup B) \cap (A \cup C)

(A \cap B) \cup (A \cap C)

A = {2, 3, 4, 8, 10}, B = {3, 4, 5, 10, 12}

C = {4, 5, 6, 12, 14},

which of the elements are part of

A \cap (B \cup C)

View More

Join BYJU'S Learning Program

explore_more_icon

Explore more

Standard XII Mathematics

Join BYJU'S Learning Program

CrossIcon