4. Let S = {students at your school}, M = {released movies}, and let A(s, m) be the statement "student s has seen movie m". Write the given statement using variables, and quantifiers. (a). “Not every student has seen Sing 2." (b). “All students have seen Spider Man."

Take out your Hot Pink (H) Strips and your Yellow (Y) strips.  To figure out how many yellow c-strips could be subtracted, make a train consisting of as many yellow c-strips (Y) as possible such that the train you make is shorter or equal to the length of H, and if you were to add one more yellow c-strip, the train would be longer than the hot pink c-strip.    How many yellow c-strips did you use?   If the train you made is shorter than H, what color c-strip could you add to that train to make it equal in length to the hot pink c-strip?        Based on your strips, fill in the blanks:   H =  Y +

The following table shows some data from a study on substance use among 10th graders in the United States and Europe.   Smoked Cigarettes Cigarette-Free Totals U.S. x y 12,000 Europe z w 98,000 Total   69,210 110,000 Given that 37,510 more European 10th graders smoked cigarettes than U.S. 10th graders, find the missing data. (x, y, z, w) =

Solve. include restrictions on your domain with you solution.