Let f be a function defined on binary strings as follows: If u is a string such that u = abc where lal = |b| = |c| then f(u) = a. %3D For example, if u = 101101011, then f(u) = 101. Which of the following statements are true? a. The cardinality of the set {u | f(u) = u} is 1. b.f is a total function. Oc. If Jul = 24, then f(f(u) is not defined. O d. F is an injection. e. The range of f is the set of all binary strings. f. fis onto the set of all binary strings.

QUESTION 11 True or False q != v is the same as ( q > v || q

Q2: Prove the following statements by Contradiction. (1) The difference of any rational number and any irrational number is irrational. Student answer:

4) see picture to solve. Just need to know which formula to use. 6 ticket revenue. B. = B1*B2, =B1*B3, =B2*B4, or =B1*B4 7 concession revenue. B. =B1*B4, =B1*B3, =B2*B4, or =B1*B2 8 profit B. =B1*B4, =B1*B3, =B2*B4, or =B1*B2