To qualify for a loan, the applicant must have a gross income of at least $35,000 if single or combined income of $50,000 if married. Let

q: You qualify for a loan.
m: You are married.
i: You have an income of at least $35,000.
b: Your spouse has an income of at least $35,000.

a. (∼m ∧ ∼i) → ________

b. (∼m ∧ i) → ________

c. [m ∧ [i ∧ b)]  → ________

In Problems 53–58, fill in the blanks with a symbolic statement that follows from the given statement.