Question

homework: 3.3 question 18, 3.3.41 part 2 of 8 construct a truth - table for the given compound statement. ~(p ∧ q) ∨ ~r complete the truth table p q r ~r p ∧ q ~(p ∧ q) ~(p ∧ q) ∨ ~r t t t f t f f t t f

Explanation:

Step1: Determine $

eg r$
When $r = F$, $
eg r=T$.

Step2: Determine $p\land q$

The logical - and ($\land$) of $p = T$ and $q = T$ is $T$. So, $p\land q=T$.

Step3: Determine $

eg(p\land q)$
Since $p\land q = T$, $
eg(p\land q)=F$.

Step4: Determine $

eg(p\land q)\lor
eg r$
The logical - or ($\lor$) of $
eg(p\land q)=F$ and $
eg r = T$ is $T$.

Answer:

p

q

r

$

eg r$ | $p\land q$ | $
eg(p\land q)$ | $
eg(p\land q)\lor
eg r$ |

T	T	T	F	T	F	F
T	T	F	T	T	F	T