Question

answer this........ASAP!!!!!

Answer 1

A = { 2x : x € N 1 ≤ x < 4}
natural number between 1 ≤ x < 4 are 1, 2 , 3

it means, A = { 2 × 1 , 2 × 2, 2 ×3 }
= { 2 , 4, 6 }

B = { (x + 2) : x € N where 2 ≤ x < 5 }

so, B = { (2+2) , (2 +3), (2 +4) }
= { 4 , 5 , 6 }

C = { x :x €N where 4 < x < 8 }
so, C = { 5 , 6, 7 }

now , we have ,
A = { 2, 4, 6 }
B = {4, 5, 6 }
C= { 5, 6 , 7 }

(1) AnB

AnB = common elements of A and B
= {4, 6 }

(ii) AUB

AUB = both A and B in one set
= { 2, 4, 5 , 6 }

(iii) (AUB)n C

AUB = { 2, 4 , 5, 6 } = H ( let )

H n C = common elements of H and C
= { 5 , 6 }