Tutorial1.pdf

mathsUNIVERSITI PUTRA MALAYSIA

FAKULTI SAINS


MTH 3004 PENGENALAN KEPADA MATEMATIK EKONOMI DAN PERNIAGAAN
Tutorial 1
1. Redefine each of the following set using the descriptive method.
(a) A = ,9,7,5,3,1{ 11,13,15,17,19}
(b) B = {−,3,3 −,2,2 −}0,1,1
(c) C = {a,e i,, o,u}
(d) D = ,0{ −,1 −,4 −,9 −16,−25,−36}
(e) E = {−,1 −,8 −27,−64}

2. Redefine each of the following set using enumeration method.
(a) F ={a | a is a negative odd integer greater than -10}
(b) G = {x | x is a positive integer less than }8
(c) H = {y | y is the name of a day of the week}
(d) J = { j | when a = ,2 a + 3b = −}7
(e) K = {k | k is the fourth power of a negative integer greater than }6-

3. Given the following sets, determines whether any sets are equal.
A = }2,1{
B ={x (| x −1)(x − 2)(x −)3 = }0
C = }3,2,1{
D ={x | x2 − 3x + 2 = }0

4. Given A = ,7,5,3,1{ −,1 −,3 −,5 −}7 , B = {−,3 −,2 −}3,2,1,0,1 and C = {−,4 −}4,2,1,3 ,
determine
(a) A∪ C
(b) B ∩ C
(c) A∩ B ∪C

5. If UUU = {x | x is a positive integer less than 20},
A = ,9,5,1{ 19},
B = {b | b is a positive odd integer less than 11}, and
C = {c | c is a positive odd integer less than 20},
draw a Venn diagram representing the sets.



.******@UPM
6. Make the specified variable the subject of the formula.
(a) c+ h = 2 e , for e
(b) S=2α r2 + 2 α