A. Let U = (-00, co) be the universal set and M = [-3, 7) and W = [-5,4). In interval notation, determine the following. 1. MOW 4. W - M 2. Mow 5. M 3. M - W 6. W B. Let U = {x x is a lowercase letter in the English alphabet } be the universal set. In roster method and in alphabetical order of arrangement of elements, determine the following sets. 1. B = (x E Uz is in the word mathematics) 6. AUE 2. E = (x ( Ulx is in the word statistics) 7. B - A 3. A = {x ( Uz is in the word arguments) 8. Nx (r E Ur is a consonant in the 2/3 CS . . 4. N = {x ( Ulx is a vowel in the word economics) 9. (An B) U (En N)' 5. BOE 10. B'nEnA'ON Page 1 of 3 GEED 10053 MATHEMATICS IN THE MODERN WORLD LONG EXAM 2 C. A music teacher has surveyed 515 students. The results of the survey are as follows: 258 students like rap music; 265 students like rock music; 257 students like heavy metal music; 141 students like both rap music and rock music; 145 students like both rap music and heavy metal music; 136 students like both rock music and heavy metal music; 73 students like all three. Construct a Venn diagram representing the given information and answer the following. How many of these students like: 1. exactly three types of music? 2. only rock music? 3. rock music or heavy metal music? 4. none of the mentioned types of music? 5. only one of the given types of music? 6. rap music and rock music, but not heavy metal? 7. at least one of the given types of music? 8. heavy metal or rock music, but not rap music? 9. heavy metal music? 10. only rap music