Problem 2.1: State the negation of the following statement:

Adrian loves rice. [Solution]

Problem 2.2: State the negation of the following statement:

The horse is not brown. [Solution]

Problem 2.3: Given the following two statements, p and q, write their conjunction, disjunction, and the implication "if p, then q."

p: The painting is colorful
q: The painting is pretty [Solution]

Problem 2.4: Given the following two statements, p and q, write their conjunction, disjunction, and the implication "if p, then q."

p: Two lines form a right angle.
q: Two lines are perpendicular. [Solution]

Problem 2.5: Given the following two statements, p and q, write their conjunction, disjunction, and the implication "if p, then q."

p: Frank is a doctor.
q: The birds sing. [Solution]