1) Find a number in between 208 and 233 that is equivalent to 99 (mod 26).

2)Which of the following inequalities involving floor and ceiling are guaranteed to be true? (Select ALL that apply!)

Group of answer choices

xx

x1x

x

2x+12>x if x is odd

2x+12>x if x is even

xxx

4) If S is a set with cardinality 8 and T is a set with cardinality 17, what is the cardinality of the Cartesian productST?

5)LetS={1,2,3,4,5}.

Define the binary relation R on S as follows:

R = {(1,1), (1,3), (2,2), (2,5) (3,1), (3,3), (5, 2), (5,5)}

Which of the following statements are true about R? (Select ALL that apply!)

Group of answer choices

R is transitive

R is an equivalence relation

R is reflexive

R is symmetric