Write the following sets in set-builder notation: (a) {58, 59, 60, · · · } (b) {13, , 14, 15, · · · , 63} (c) {7, 8, 9, 10, 11, 12, 13, 14} (d) Set E is the set of odd natural numbers.

License Plate Numbers In a certain state, each automobile license plate number consists of two letters followed by a four-digit number. To avoid confusion between “O” and “zero” and between “I” and “one,” the letters “O” and “I” are not used. How many distinct license plate numbers are possible in this state?

Determine whether the set S={2x+x2,8+x3,x2+x3,4+x2} spans P3.

The number of 5-element subsets from a set containing n elements is equal to the number of 6-element subsets from the same set. What is the value of n? (Hint: the order in which the elements for the subsets are chosen is not important.)