(p & q) (q v r) - Vidyadip

Question

$(p\ \&\ q) \rightarrow (q\ v\ r)$

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Answer

Truth table:

	$1$	$2$	$3$	$4$	$5$	$6$
	$p$	$q$	$r$	$p\ \&\ q$	$q\ v\ r$	$(p\ \&\ q) \rightarrow (q\ v\ r)$
$1$	$T$	$T$	$T$	$T$	$T$	$T$
$2$	$T$	$T$	$F$	$T$	$T$	$T$
$3$	$T$	$F$	$T$	$F$	$T$	$T$
$4$	$T$	$F$	$F$	$F$	$F$	$T$
$5$	$F$	$T$	$T$	$F$	$T$	$T$
$6$	$F$	$T$	$F$	$F$	$T$	$T$
$7$	$F$	$F$	$T$	$F$	$T$	$T$
$8$	$F$	$F$	$F$	$F$	$F$	$T$
				$1, 2 (\&)$	$2, 3 (V)$	$4, 5 (\rightarrow)$

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 $6.$ All rows in this column have $‘T’.$ This means that all substitutions for this form of statement are true. So it is clear that this form of statement is 'tadevarthaka'.

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