Question

if A ={x:x E N and 3<x<7} and B={ x:x E W and x\<4},find
(i)A U B
(ii)A n B
(iii)A-B​

Answer 1

Answer:

A = 4,5,6

B = 0,1,2,3,4

i) A U B = { 0,1,2,3,4,5,6 }

ii) A n B = { 4 }

iii) A - B = { 5,6 }

Answer 2

Write the above sets in roster form 

Write the above sets in roster form We have, A={1,2,3,4,5} and B={4,5,6,7}

Write the above sets in roster form We have, A={1,2,3,4,5} and B={4,5,6,7}From Ven-diagram, A−B={1,2,3} and B−A={6,7}

Write the above sets in roster form We have, A={1,2,3,4,5} and B={4,5,6,7}From Ven-diagram, A−B={1,2,3} and B−A={6,7}Clearly A−B=B−A