Patrick L. answered • 12/10/20

AA in Mathematics with 5+ Years of Tutoring Experience

n = 1200 people surveyed

x_{1} = 830 own microwave ovens

x_{2} = 720 own DVD players

x_{3} = 570 own microwave ovens and DVD players

(A) Add up the number of people who own just microwave ovens and just DVD players: 830 + 720 = 1550

Then subtract that by 570 to get the following: 1550 - 570 = **980**

980 people own either a microwave oven or a DVD player.

(B) Subtract the total number of people surveyed by the number of people who own one of the items:

1200 - 980 = **220**

220 people own neither a microwave oven nor a DVD player.

(C) Subtract the number of people who own a microwave oven by the number of people who own either one: 980 - 570 = **410**

410 people own a microwave oven and not own a DVD player.