Sets

Sets

Basic Concept

Multiple Choice

If A = { x : x  $\left\{\in Z,\ x^4\ -\ 16\ =\ 0\ \right\}$ , then  

• A = { - 2 , 2 }

• A = {2}

• A  = { - 4 }

• A { -4, 4, -2, 2}

Multiple Choice

 $If\ B\ \ =\ \left\{\phi\right\},\ then$ 

• B is the null set

• B is a finite set

• B is an infinite set

• B is not a set

Multiple Choice

 $Let\ A\ =\ \left\{x\ :\ x\in N,\ x^3\ -\ 27\ =\ 0\ \right\}$  

• 9 $\in$   A

•  $-3\ \in\ A$  

•  $3\ \in\ A$  

• 2  $\in\ A$  

Multiple Choice

 $A=\left\{\frac{1}{3},\ \frac{2}{4},\ \frac{3}{5},\ \frac{4}{6},\ \frac{5}{7},\ \frac{6}{8},\ \frac{7}{9},\ \frac{8}{10}\right\}$  write in set builder form

•  $A\ =\ \left\{\ x:\ x\ =\ \frac{n}{n+2},\ n\ \in N,\ n\le\ 8\right\}$  

•  $A\ =\ \left\{\ n:\ \frac{n}{n\ +2},\ n\ \in\ Z,\ n<9\right\}$  

•  $A\ =\ \left\{\ n\ :\ \frac{n}{n\ +\ 2},\ n\ \in\ N\ \right\}$  

•  $n\left(A\right)\ =\ 9$  

Multiple Choice

 $\ P\ =\left\{\ 3^n\ -\ 2^n\ :\ n\ \in N\ \ and\ 1\ \le n\le5\right\}$  

The roaster form of the set P  is :

•  $P\ =\ \left\{\ 1,5,19,\ 65,\right\}$  

•  $P=\ \left\{1,5,\ 19,65,\ 211\right\}$  

• P =  $\phi$  

•  $P\ =\ \left\{\ 1,\ 5,\ 19.\ 65\right\}$  

Multiple Choice

The set of animal on the earth is _____.

• Finite set

• Infinite set

• Set does not exist

• none of these

Multiple Choice

 $B\ =\ \left\{\ x\ :\ x^2\ +5x\ +\ 6\ =\ 0,\ x\ \in Z\right\}$  

Which of the following set represents ?

• { - 2, 3}

• { -2, - 3 }

• {2, 3}

• {2, - 3 }

Multiple Choice

Which of the following set is empty?

• $A\ =\ \left\{\ x:\ x\ \in R,\ x^2\ -\ 1\ =\ 0\right\}$

• B = $\left\{\ x\ :\ x\ \in R,\ x^2\ +\ 1\ =\ 0\right\}$

• $C\ =\ \left\{\ x:\ x\in R,\ x^2\ -\ 9\ =\ 0\right\}$

• $D=\ \left\{\ x:\ x\in R,\ x^2\ =\ 2\ \right\}$

Multiple Choice

List all the elements of the set P = { x : x is a letter of the word HARYANA}

• { H, A, R, N,}

• {H, A, R, Y, N, }

• { H, R, Y, N}

• {H, A, R, Y, A. N}