Question

Using the given statements, determine the truth-value of the following statement.

p: |-8| - |3| = 5
q: 0 is the additive identity

Is p ∧ q true or false?

Answer 1

p^q to the following question is true

Answer 2

Answer: The truth value of the statement p ∧ q is TRUE.

Step-by-step explanation: We are the given the following two statements :

p: |-8| - |3| = 5

q: 0 is the additive identity.

We are to find the truth value of "p ∧ q".

We know that

for any two statements p and q, p ∧ q is true if both the statements p and q are true and is false otherwise.

We have

|-8| + |3| = 8 - 3 =5. So, p is true.

O is the additive identity, q is also rue.

Therefore, the statement p ∧ q is TRUE.

Thus, the truth value of the statement p ∧ q is TRUE.