(a) Let A = {x €| - 2 < x <1} and B = {x € 2| x < -1 or 2 > 1}. Then A n B' = (i) {r e RI-1<<<0}
(ii) {x € Z] -15%<1}
(iii) {0,1}
(iv) {r € Z-1<<<1}
(v) {-1,0}
(vi) {r € Z-1 (vii) None of the above.
(b) Suppose a restaurant o↵ers the following prix fixe menu:
• Main course: prime rib, steak, chicken, filet of sole, shrimp.
• Side dish: soup, salad, crab cakes
• Dessert: cheesecake, chocolate delight, ice cream
• Beverage: co↵ee, tea, milk
• Appetizer: there are 5 appetizers (spicy chicken feet comes with it no matter what).
The number of ways one can order a complete prix fixe meal consisting of one choice from the main course, one choice from side dish, two di↵erent choices from dessert, one choice from beverage and zero to 5 choices from the appetizers is:.
(i) 5.3.3P,-3-25
(ii) 5.3.4C2-3.25
(iii) 5.3.3.3.52
(iv) 5.3.2C3.3.25
(v) 5.3.3C2-3.25
(vi) 5-3-3C2-3-5C2
(vii) 5.3.2C2-3-5
(viii) None of the above.