If Axx is an even integer and Bxx is an odd integer greater

If A={x|x is an even integer} and B={x|x is an odd integer greater then zero}, list the elements of the set A U B

Choose the correct answer:

A) {...,-3,-1,1,3,...}

B) {...,-4,-2,0,1,2,3,...}

C) {1,2,3,...}

D) {...,-3,-1,1,2,3,...}

Solution

A={ x : x is an even integer} ={,....., -6,-4,-2,0,2,4,6,.......}

B={x: x is an odd integer greater than 0} ={1,3,5,7,9,....}

AUB = { ......,-4,-2,0,1,2,3,....} so the option C as union means collecton of all elements of A and B so AUB means is the set containing odd integers greater than 0 and all even integers