Question

the following statement has the form p and q. state p and q, and give their truth values. then determine whether the conjunction (the and statement) is true or false, and explain why. mercury is a planet and the milky way is a star. identify p. choose the correct answer below. a. the milky way is a planet b. mercury is a star c. mercury is a planet d. the milky way is a star. identify q. choose the correct answer below. a. mercury is a star b. the milky way is a planet c. mercury is a planet d. the milky way is a star. what is the truth - value of p? false

Explanation:

In the statement "Mercury is a planet and the Milky Way is a star", we break it into two parts for the logical 'and' (conjunction). The first part 'p' is "Mercury is a planet" which is a true statement as Mercury is one of the planets in our solar - system. The second part 'q' is "the Milky Way is a star" which is false since the Milky Way is a galaxy. In a conjunction, for the whole statement to be true, both 'p' and 'q' must be true. Since 'q' is false, the entire conjunction is false.

Answer:

Identify p: C. Mercury is a planet
Identify q: D. The Milky Way is a star
What is the truth - value of p? true
What is the truth - value of q? false
Is the conjunction true or false? false, because in a conjunction, both parts must be true for the whole statement to be true, and here q is false.