Question

Use the following statements to write the given compound statement and then determine the truth value.

p: All vegetables are green
q: Vertical angles are congruent
r: All integers are natural numbers
p v q
A) True
B) False

Answer 1

The compound statement p v q means 'p or q'. The truth value of p v q depends on the individual truth values of p and q. In this case, we don't have enough information to determine the truth value.

Step-by-step explanation:

The given compound statement is p v q, which means 'p or q'. In this case, p represents the statement 'All vegetables are green' and q represents the statement 'Vertical angles are congruent'.

A compound statement with 'or' is true if at least one of the individual statements is true. So, to determine the truth value, we need to evaluate the truth values of p and q.

If p is true and q is false, then p v q is true. If p is false and q is true, then p v q is true. If both p and q are true, then p v q is true. Only when both p and q are false, then p v q is false.

In this case, we don't have enough information about the truth values of p and q to determine the truth value of p v q. Therefore, the correct answer is B) False.