Let A = a, e, i, o, u and B = a, i, u . Show that A B = A - Vidyadip

Question

Let A = { a, e, i, o, u } and B = { a, i, u }. Show that A $\cup$ B = A

✓

Answer

We have, A $\cup$ B = { a, e, i, o, u } = A.
This example illustrates that union of sets A and its subset B is the set A

We know that if B $\subset$ A, then A $\cup$ B = A.

Need a full question paper?

Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.

Start Generating Free

Explore more

More "1 Marks Question" from Sets→Sets — all question types→Maths STD 11 Science question papers→CBSE Board STD 11 Science question papers→CBSE Board question paper generator→

Similar questions

Find out the following sentences are statements and which are not. Justify your answer.
Every set is a finite set.

Write the negation of the following statements:
All triangles are not equilateral triangle.

Write the total number of terms in the expansion of $(\text{x}+\text{a})^{100}+(\text{x}-\text{a})^{100}.$

Are the following sets equal?
A = {x : x is a letter in the word paper},
B = {x : x is a letter in the word paper},
C = {x : x is a letter in the word paper}.

Find the derivative of $f ( x ) = \frac { 1 } { x }$

Show that $A \cap B = A \cap C$ need not imply B = C.

If $z_1=2+3 i$ and $z_2=1+2 i$ then, write the value of $\frac{z_1}{z_2}$.

The given following sets are finite & in which of it infinite in if?
$\{\text{x}\in\text{N}:\text{x}<5\}$

Evaluate: $\frac{{n!}}{{(n - r)!}}$ when, n = 6, r = 2

Write the sum of the coefficients in the expansion of $(1-3\text{x}+\text{x}^{2})^{111}.$