A survey of 42 men was taken asking about their likes of certain female names: Amy, Beth and Cindy. It was discovered that 13 men liked the name Amy, 20 of them liked Beth, 8 liked Beth but not Cindy, 13 liked Cindy but not Beth, 7 liked Amy but not Beth, 4 liked only the name Amy and 2 liked Amy and Beth but not the name Cindy. Find the following and draw the Venn Diagram corresponding to this problem.

In a coastal town, the humidity, measured in grams of water per kilogram of air, increases by 43% for every 1 degree celsius increase in temperature. a scientist observes that the humidity on monday morning is 5.75 grams per kilogram. he wants to know how much the temperature must increase for the humidity to reach at least 49.17 grams per kilogram. let t represent the increase in temperature, in degrees celsius, from monday morning's observation. write an inequality to represent the situation, and use it to determine the desired temperature increase.