Answer the following questions below. Please be sure to clearly identify any variables used and use complete sentences. Please show all of your work and explain your answers.

1. You see a Venn diagram in an article that shows the demographics of some of your state representatives. You notice that the circle representing African Americans and the circle representing state senators do not meet. What do you conclude from this? Exercise 26 in section 1.4 is relevant to this topic

2. Your class is shown a Venn diagram with circles representing students who play the only three sports offered at a certain school: basketball, hockey, and soccer. For simplicity, lets say that for each sport there are exactly 40 students who play that sport. A fellow student concludes that there are 120 students who play a sport at the school. Explain why that is not necessarily a valid conclusion, both in terms of logic, and in terms of the Venn diagram.

3. You ask a sales representative about the cost of flooring and the answer is $10.50. What crucial piece of information is missing?

4. You read two articles about unemployment in the United States. One article uses recent data to estimate unemployment rates one year from now. The other article uses recent data to estimate unemployment rates 10 years in the future. Do you have reason to trust one article aver the other? Explain your reasoning.

5.Harry notes that the state tax went from 5% to 5.5%, which he says is not too bad because its just a one-half percent increase. But Linda says that is really is bad because its a 10% increase. Whos right, and why?