Math 120 Quiz #2 Sections 2.4 and 2.5 (21 points) Due Thursday, February 22 by 11:59pm on Canvas (Show all of your work for full credit) [Section 2.4] Use the regions of a three-set Venn diagram to determine whether (A B) U (AC)=A(BNQ) for all sets A, B, and C by completing the tables below step by step. Be sure to state your conclusion regarding whether or not the statements are equal. Use the standard I-VIII (or 1-8) numbering of the regions for the three sets. You may use that A corresponds to regions I, IT, IV, V; B corresponds to IL, III, V, VI; C corresponds to IV, V, VI, VII; and the region outside all three sets corresponds to VIIIL. (6 points) | (A-B)U(A-0) Set Corresponding Regions Set Corresponding Regions [Section 2.5] Construct a Venn diagram using the following information. (9 points) A survey of 275 students was taken regarding their YouTube video-watching preferences. The survey found that: e 155 watch videos on a television e 224 watch videos on a phone e 175 watch videos on a computer e 128 watch videos on a television and phone e 102 watch videos on a television and computer e 137 watch videos on a phone and com- puter o 80 watch videos on all three devices Then, based on the Venn diagram, answer the following questions. Write out the numbers used to find any sums before evaluating them. (a) How many students surveyed only watch videos on a computer? (1 point) (b) How many students surveyed watch videos on a television or computer, but not a phone? (2 points) () How many students surveyed watch videos on exactly two of these devices? (2 points) (d) How many students surveyed watch videos on none of these devices? (1 point)