Question

Let U = {1, 2, 3, 4, 5, 6, 7, 8, 9}, A = {1, 2, 3, 4}, B = {2, 4, 6, 8} and C = {3, 4,
5, 6}. find (i) A′ (ii) (A ∩ C)′ (iii) (A′)′ (iv) (B – C)′

Answer 1

Answer:

i) A' = {5, 6, 7, 8 }.

ii) (A ∩ C)' = { 7, 8, 9}

iii) (A')' = { 1, 2, 3, 4}

iv) ( B- C)' ' = { 1, 2, 3, 5, 7, 8, 9}

Step-by-step explanation:

i) only 5, 6, 7 and 8 are not present in the A set

ii) A ∩ C set is {, 1, 2, 3, 4, 5, 6 }

so the rest of it will be { 7, 8, 9}

iii) A' =

{5, 6, 7, 8 }. Hence, (A')'={ 1, 2, 3, 4}

iv) B-C == { 4, 6}. Hence, (B-C)'= { 1, 2, 3, 5, 7, 8, 9}