5. For statements P and Q the implication (P) → (Q) is called the inverse of the implication P⇒ Q. State the inverse of each implication in words. a) If a=0 then ab = 0. b) If x > 10 then |x| > 10.

Express this in predicate logic: Each email address has exactly one email box. M(x): x is an email address B(x,y): x has an email box y

Write the converse, inverse, and contrapositive of the statement below. The converse of the given statement is which of the following? A. q--p B. qvp O C. p--a O D. -p→q The inverse of the given statement is which of the following? A. -p→q B. p--a O C. q--p O D. qvp The contrapositive of the given statement is which of the following? O A. p--a O B. q→-p O C. qvp D. -p→9

Let p, q, and r represent the following simple statements. p: I eat bananas. q: I like ice cream. r I like to eat. Write the following compound statement in its symbolic form. If I do not eat bananas then: I do not like ice cream and I do not like to eat. The symbolic form is