(b) In Helenas course she had |A| = 10, |E| = 8, |R| = 7, |A\cap E\cap R| = 1, and | A’ \cap E’ \cap R’ |= 0. Without knowing anything about this particular class, you can say “I know with 100% certainty that there had to be at least x students in the class and at most y students in the class”. Determine the largest value of x and the smallest value of y. Clearly justify why your answers are correct.