Question
$(p \rightarrow q)\ v\ (q \rightarrow p)$

Answer

Truth table:
  $1$ $2$ $3$ $4$ $5$
$p$ $q$ $p \rightarrow q$ $q \rightarrow p$ $(p \rightarrow q)\ v\ (q \rightarrow p)$
$10$ $T$ $T$ $T$ $T$ $T$
$2$ $T$ $F$ $F$ $T$ $T$
$3$ $F$ $T$ $T$ $F$ $T$
$4$ $F$ $F$ $T$ $T$ $T$
  $1, 2(\rightarrow)$ $2, 1 (\rightarrow)$ $3, 4 (V)$
Decision of the type of form for the statement: Looking at the fact sheet above, it will be seen that the representation of the given form for the statement is in column no. Done in $5.$ All rows in this column have a $'T'.$ This means that all substitutions for this form of statement are true. So it is clear that this form of statement is 'tadevarthaka'.

Need a full question paper?

Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.

Start Generating Free