Question

complete the truth table for \\(\sim p \
ightarrow \sim q\\).

\\(\

$$\begin{array}{|c|c|c|c|c|} \\hline p & q & \\sim p & \\sim q & \\sim p \ ightarrow \\sim q \\\\ \\hline t & t & ? & ? & ? \\\\ \\hline t & f & ? & ? & ? \\\\ \\hline f & t & ? & ? & ? \\\\ \\hline f & f & ? & ? & ? \\\\ \\hline \\end{array}$$

\\)

Explanation:

Determine the truth values for \(\sim p\) and \(\sim q\)

$$
LATEXBLOCK0
$$

Evaluate the conditional statement \(\sim p

ightarrow \sim q\)

$$
LATEXBLOCK1
$$

Construct the complete truth table

$$
LATEXBLOCK2
$$

Answer:

\(p\)

\(q\)

\(\sim p\)

\(\sim q\)

\(\sim p

ightarrow \sim q\) |

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