Question

if p is true, q is false, and r is true find the truth value of the statement. (p∧~q)⇒~r

Answer 1

$(p\ \wedge\sim q)\Rightarrow\sim r\\\\p=1;\ q=0\to\sim q=1;\ r=1\to\sim r=0\\\\(p\ \wedge\sim q)\Rightarrow\sim r\\.\ 1\ \ \ \ \ \ 1\ \ \ \ \ \ \ 0\\.\underline{\ \ \ \ 1\ \ \ \ \ \ \ \ \ \ \ 0}\\.\ \ \ \ \ \ \ \ \ \ 0\\\\\\Answer:FALSE$