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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`. |
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Answer» (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}`. |
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