Question

Let p represent the statement "the car is blue" and q represent the statement "the car is spacious." What is true of the conjunction p ∧ q? Check all that apply.

The conjunction p ∧ q can be stated as "the car is blue and spacious."

The conjunction p ∧ q can be stated as "if the car is blue, then it is spacious."

The statement "the car is blue and spacious" is a compound statement.

The statement "the car is spacious and blue" can be written symbolically as q ∧ p.

p is the hypothesis.

Answer 1

A,C, and D

Explanation:

Answer 2

a) True

The conjunction p∧q can be read as p and q.

b) False

The expression "if the car is blue, then it is spacious" is represented as p⇒q

c) True

Remember, a compund statement is a stament formed by one or more logical connectives to a collection of simple statements.

Observe that the stament "the car is blue and spacious" results from the application of the connective ∧ to the simple staments p, q.

d) True

The conjunction q ∧ p can be read as " q and p"

e) False

Neither are hypotheses because the logical implication connector is not being used.