Question

Find the union of each of the following pairs of sets :
(i) `X = {1,3,5} " " Y={1,2,3}`
(ii) `A = {a,e,i,o,u}" "B={a,b,c}`
(iii) A = {x : x is a natural number and multiple of 3}
B = {x : x is a natural number less than 6}
(iv) A = {x : x is a natural number and `1 lt x le 6`}
B = {x : x is a natural number and `6 lt x lt 10`}
`A = {1,2,3}, B = phi`.

Answer 1

(i) `X={1,3,5},Y={1,2,3}`
`X cupY={1,2,3,5}`
(ii) `A={a,e,i,o,u},B={a,b,c}`
`A cupB={a,b,c,e,i,o,u}`
(iii) A = {x : x is a natural number and multiple of 3}
`={3,6,9,12,….}`
B = {x : x is a natural number less than 6}
`={1,2,3,4,5}`
`A cup B =` {x : x, is a multiple of 3 or x = 1,2,4,5}
(iv) A = {x : x is a natural number and `1 lt x le 6`}
`= {2,3,4,5,6}`
B = {x : x is a natural number adn `6 lt x le 10`}
`={7,8,9}`
`A cup B = {2,3,4,5,6,7,8,9}`
(v) `A = {1,2,3}, B = phi`
`A cup B = {1,2,3}`.