Question

A survey of people in a certain city indicates that own microwave​ ovens, own dvd​ players, and own microwave ovens and dvd players. ​(a) how many people in the survey own either a microwave oven or a dvd​ player? ​ (b) how many own neither a microwave oven nor a dvd​ player? ​(c) how many own a microwave oven and do not own a dvd​ player?

Answer 1

To find out how many people in the survey own either a microwave oven or a DVD player, we need to add together the number of people who own a microwave oven and the number of people who own a DVD player, and then subtract the number of people who own both. The number of people who own either a microwave oven or a DVD player is M + D - B. The number of people who own neither a microwave oven nor a DVD player is the total number of people in the survey minus the number of people who own either a microwave oven or a DVD player, which is M + D - B. The number of people who own a microwave oven and do not own a DVD player is M - B.

Step-by-step explanation:

To find out how many people in the survey own either a microwave oven or a DVD player, we need to add together the number of people who own a microwave oven and the number of people who own a DVD player, and then subtract the number of people who own both. Let's say the number of people who own a microwave oven is M, the number of people who own a DVD player is D, and the number of people who own both is B.

(a) The number of people who own either a microwave oven or a DVD player is M + D - B.

(b) The number of people who own neither a microwave oven nor a DVD player is the total number of people in the survey minus the number of people who own either a microwave oven or a DVD player, which is M + D - B.

(c) The number of people who own a microwave oven and do not own a DVD player is M - B.