Question
$(p\ V\ q) \rightarrow (p\ \&\ q)$
| $1$ | $2$ | $3$ | $4$ | $5$ | |
| $p$ | $q$ | $p\ V\ q$ | $\sim (p\ \&\ q)$ | $(p\ V\ q) \rightarrow (p\ \&\ q)$ | |
| $1$ | $T$ | $T$ | $T$ | $T$ | $T$ |
| $2$ | $T$ | $F$ | $T$ | $F$ | $F$ |
| $3$ | $F$ | $T$ | $T$ | $F$ | $F$ |
| $4$ | $F$ | $F$ | $F$ | $F$ | $T$ |
| $1, 2 (V)$ | $1, 2 (\&)$ | $3, 4 (\rightarrow)$ | |||
Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.
| $R\ \rightarrow\ (S\ v\ T)$ |
| $P\ v((S\ v\ T)\ \rightarrow\ W]$ |
| $M\ v\ \sim\ P$ |
| $(H\ \&\ N)\ \rightarrow\ \sim\ M$ |
| $H\ \&\ N$ |
| $(R\ \rightarrow\ W)\ v\ S$ |
| $(P\ \&\ Q) \rightarrow [(P \rightarrow R)\ \&\ S]$ |
| $(P\ \&\ Q)\ \&\ T$ |
| $R\ v\ W$ |
| $J \rightarrow K$ |
| $J\ v\ (K\ v\ \sim\ L)$ |
| $\sim K$ |
| $\therefore \sim L\ \&\ \sim K$ |
| $E\rightarrow (F\ \&\ \sim G)$ |
| $( F\ v\ G)\rightarrow H$ |
| $E$ |
| $\therefore H$ |