Skip to main content

Posts

The laws of set algebra & Laws derivable >> in the table 5.1 & 5.2 :

Ans :       Commutative laws                             Ans:          Associative laws Ans:         Distributive laws       Ans:            Identity laws Ans:         Complement laws Ans:          Absorption laws Ans:         Minimization laws Ans:         De Morgan’s laws

Discrete mathematics

            It's about Discrete mathematics in this book  #Anthony Croft, Engineering Mathematices, 5e (2017)  So i will choose exercise 5.2 #7 #8 #9  to slow everyone: 7 . The sets A, B and C are given by A = {1, 3, 5, 7, 9}, B = {0, 2, 4, 6} and C = {1, 5, 9} and the universal set, E = {0,1, 2, . . . ,9}. (a) Represent the sets on a Venn diagram. (b) State A ∪ B. (c) State B ∩ C. (d) State E ∩ C. (e) State not A. (f) State not B ∩not C. (g) State not (B ∪C). Ans :  a ) Represent the sets on a Venn diagram : The set containing all the numbers of interest is called the universal set, E. E is represented by the rectangular region. Sets A , B and C are represented  by the interiors of the circles and it is evident that 1 ,   3,  5,  7 and 9 are members of A while 0, 2,  4,  and 6 are members of B that 1,  5  and  9 are members of C....