STATS 109-B

"Sets and their Representations - 2"

NO CREDITS TO THOSE WHO DONT FOLLOW THE INSTRUCTIONS. NEED THIS URGENT. PLEASE SKIP IF YOU CANT THANK YOU. 

7. How to define Wavy Curve Method f(x)?

a) (x-a1)n1/ (x-a2)n2/ (x-a3)n3............... / (x-ak)nk* (x-b1)m1/ (x-b2)m2/ (x-b3)m3........ /(x-bp)mp

b) (x-a1)n1+ (x-a2)n2+(x-a3)n3............... + (x-ak)nk/ (x-b1)m1+ (x-b2)m2+ (x-b3)m3........ + (x-bp)mp

c) (x-a1)n1(x-a2)n2(x-a3)n3............... (x-ak)nk/ (x-b1)m1(x-b2)m2(x-b3)m3........ (x-bp)mp

d) (x-a1)n1- (x-a2)n2- (x-a3)n3............... - (x-ak)nk/ (x-b1)m1- (x-b2)m2- (x-b3)m3........- (x-bp)mp

8. How to solve for x, if |x-1| 3?

a) (-, -2) (4, )

b) (-, -2] [4, )

c) (0, -2] (4, 0)

d) (-, ) - {-2, 4}

9. What is the interval of f(x) = (x - 1)(x - 2)(x - 3)/(x3+ 6x2+ 11x + 6) where f(x) is positive?

a) (-, -3) (3, )

b) (3, -2) (1, 1) (2, 3)

c) (-, -3) (2, -1) (1, 2) (3, )

d) (-, )

10. What is the interval of f(x) = (x - 1)(x - 2)(x - 3)/(x3+ 6x2+ 11x+ 6) where f(x) is negative?

a) (-, -3) (3, )

b) (3, -2) (1, 1) (2, 3)

c) (-, -3) (2, -1) (1, 2) (3, )

d) (-, )

11. What is the set of all x for which 1/(x - 1)(3 - x) 1?

a) (-, 1) (3, )

b) (-, 1) (3, ) {2}

c) (-, 1) {2}

d) (3, ) {2}

12. Which one of the following is the correct representation of set A = {2,4,8,16....} in set builder form?

a) {x: x = 2n where n N}

b) {x: x = 2nwhere n N}

c) {x: x = 4n where n N}

d) {x: x = 2n+4 where n N}

13. A set can be a collection but a collection cannot be a set.

a) True

b) False

1. How to define a set?

a) A collection of well-defined objects or element

b) A collection of unordered objects or element

c) Any random elements

d) A collection of special characters

2. How is a set denoted?

a) ()

b) {}

c) []

d) **

3. How will you define a set of all real numbers?

a) {x: -1 < x < 1}

b) [x: - < x < ]

c) {x: - < x < }

d) {x: -Z < x < +Z}

4. How will you define Union of two sets A and B?

a) {x: x A or x B}

b) {x: x A or x B (or both)}

c) {x: x A and B}

d) {x: x A - B}

5. How will you define the difference of two sets B-A?

a) {x: x A and x B}

b) {x: x A and x B}

c) {x: x A and x B}

d) {x: x A and x B}

6. What will be the set of the interval (a, b]?

a) {x: a < x < b}

b) {x: a x b}

c) {x: a < x b}

d) {x: a x < b}