Question

What is the truth value of (~p ∧ q) ∨ r if p is true, q is false, and r is true?
A true
B false
C 0
D cannot tell

Answer 1

b

it has to be it right

Answer 2

Truth values are used to determine if a given statement is true or false.

The truth value of ($\sim$ p ^ q) v r is (A) true

Given that:

$p \to$ true

$q \to$ false

$r \to$ true

To evaluate  ($\sim$ p ^ q) v r

We determine the truth value of:($\sim$ p ^ q)

$p \to$ true

So:

$\sim p \to$ false

($\sim$ p ^ q) would then be represented as: (false ^ false)

The ^ sign means and

In truth table, the result of false and false, is false

So, (false ^ false) means false

Now, ($\sim$ p ^ q) v r becomes: false v r

Replace r with its truth value

So, we have, false v true

The v sign means or

In truth table, the result of false or true, is true

So, false v true means true

Hence, the truth value of ($\sim$ p ^ q) v r is true

Read more about truth values at:

https://brainly.com/question/17996274