Question

If U is the set of all digits in our decimal system,A = {x:x is prime}, B = {x:x 2 < 25}, find B - A and (A∪B)' (i).{1,4} (ii).{0,6,8,9}

Answer 1

U={0,1,2,3,4,5,6,7,8,9}
A={2,3,5,7}
B={0,1,2,3,4}
∴, B-A={x: x∈B and x∉A}={0,1,4} and
AUB={x: x∈A and x∈B}={0,1,2,3,4,5,7}
∴, (AUB)'=U-(AUB)={6,8,9}

Answer 2

Answer:

B - A =  {0 , 1  , 4}

(A U B)' = { 6 , 8 , 9}

Step-by-step explanation:

If U is the set of all digits in our decimal system,A = {x:x is prime}, B = {x:x 2 < 25}, find B - A and (A∪B)' (i).{1,4} (ii).{0,6,8,9}

U =  {0 , 1  , 2  , 3 , 4  , 5 , 6 , 7 , 8 , 9}

A = { 2 , 3  , 5 , 7 }   ( Prime numbers)

B = { 0 , 1 , 2 , 3 , 4 }   ( x² < 25  => x < 5)

B - A =  {0 , 1  , 4}

A U B  =   { 0 , 1 , 2 , 3 , 4 , 5 , 7 }  

(A U B)' = { 6 , 8 , 9}