Homework Solution: Let A = {a, b, c, d, e}, B = {a, b, e}, C = {d, e, f}, and U= {a, b, c, d, e, f}. List the…

    Let A-{a, b, c, d, e}, B-{a, b, e), C = {d, e, f}, and U= {a, b, c, d, e, f. List the elements of: a. BX C
    Let A = {a, b, c, d, e}, B = {a, b, e}, C = {d, e, f}, and U= {a, b, c, d, e, f}. List the elements of: a. B times C b. C times C^c

    Expert Answer

     
    X is known as cartesian product. Cartesian product of the two no

    Let A-{a, b, c, d, e}, B-{a, b, e), C = {d, e, f}, and U= {a, b, c, d, e, f. List the elements of: a. BX C

    Let A = {a, b, c, d, e}, B = {a, b, e}, C = {d, e, f}, and U= {a, b, c, d, e, f}. List the elements of: a. B times C b. C times C^c

    Expert Repartee

     

    X is public as cartesian emanation. Cartesian emanation of the couple insensibility emptiness Determineds P, Q is defined as the determined of ordered pairs (x,y) such that x ∈ P and y ∈ Q

    Given determineds
    A = {a, b, c, d, e};
    B = {a, b, e};
    C = {d, e, f};

    General determined U = {a, b, c, d, e, f};

    a. AXB is

    {(a,a),(a,b},(a,e),(b,a),(b,b),(b,e),(c,a),(c,b),(c,e),(d,a),(d,b),(d,e),(e,a),(e,b),(e,e)}

    b. CXC^

    C^ besides public as the correlative of determined C is defined as the determined of elements that are in the general determined U, except not attributable attributable attributable in C

    C = {d,e,f};
    C^ = U-C = {a,b,c};

    CXC^ = {(a,d),(a,e),(a,f),(b,d),(b,e),(b,f),(c,d),(c,e),(c,f)}