Equal Sets

Q.

If A = {x : x is a letter of the word SET} and B = {x : x is a letter of the word SETTEE}, then A and B are __________.

1. null sets
2. disjoint sets
3. power sets
4. equal sets

Q. Write the following set in roaster form:
G = {x : x is a natural number, 3x - 2 <5}

Q.

Two sets having identical elements are known as ___ sets.

Q.

If A = {1, 8, 27} and B =$\{x:x=n^3,n\in N,n<4\}$, then

1. A = B

2. A and B are disjoint sets

3. A and B are null sets

4. $A\ne B$

Q.

In a${}^m$, a is called index and m is called base. State whether true or false

1. False

2. True

Q. What are the subsets of set A = {1, 2} ?
$\left[2Mark\right]$

Q. Set A = {a, b, c, d, e} and Set B = {First 5 letters of the english Alphabet system}. The given sets are :

1. Unequal Sets
2. Disjoint Sets
3. Equal Sets
4. Infinite Sets

Q.

$A=\{0^2,1^2,2^2,3^2,4^2\}andB=\{16,9,4,1,0\}$ then the Set A and Set B are ___sets.

Q. If set A = {2+5 , 5+7 , 6+9 , 9+13} and set B = {7, 12, 15, 22}; the given sets are :

1. Unequal sets
2. Disjoint sets
3. Equal sets
4. Infinite sets

Q.

How do you check if two matrices are the same?

Q.

Write the equivalent and the equal symbol for the following sets.

Q.

If A = set of letters of the word BOOK and B = {O, B, K}, then

1. A and B are equal sets

2. A and B are disjoint

3. A U B = 0

4. None of the above

Q.

Let $P=\left\{1,-1\right\}$ $,$ $Q=\left\{x:x^2=4,x\in \mathrm{\mathbb{Z}}\right\}$ and $R=\left\{-2,-1,1\right\}$ State which of the following is true and which is false$.$

$P\leftrightarrow R$

1. True
2. False

Q.

Equal sets are the sets that _____________.

1. have identical elements

2. have infinite number of elements

3. is a subset of the other

4. None of the above

Q. The reciprocal of does ot exist.

Q.

All equivalent sets are ___.

1. Null

2. Singleton

3. Equal

4. Not equal

Q.

Let $P=\left\{1,-1\right\}$ $,$ $Q=\left\{x:x^2=4,x\in \mathrm{\mathbb{Z}}\right\}$ and $R=\left\{-2,-1,1\right\}$ . State which of the following is true and which is false$.$

$P\leftrightarrow Q$

1. True
2. False

Q.

If A = {set of letters of the word BOOK}and B = {o, b, k}, then

1. A = B

2. A and B are disjoint

3. None of the above

4. A union B equals to 0

Q.

Which of the following sets is written in the set builder form?

1. $Q=\left\{1,2,3,4,5\right\}$

2. $A=\left\{x:xisacountingnumbergreaterthan9\right\}$

3. $P=\left\{Thelastfourmonthsofayear\right\}$

4. None of these

Q.

Which one of the following is a solution of x + 5 = 21?

(A) x = 14

(B) x = 15

(C) x = 16

(D) x = 18