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Mathematical Reasoning
normal
Which of the following pairs are not logically equivalent ?
A
$ \sim \left( { \sim p} \right)$ and $p$
B
$p\, \vee \,\left( {p\, \wedge \,q} \right)$ and $q$
C
$ \sim \,\left( {p\, \wedge \,q} \right)$ and $\left( { \sim p} \right)\, \vee \,\left( { \sim q} \right)$
D
$ \sim \left( { \sim p\, \wedge \,q} \right)$ and $\left( {p\, \vee \, \sim \,q} \right)$
Solution
| $p$ | $q$ | $p \wedge q$ | $p \vee \left( {p \wedge q} \right)$ |
| $T$ | $T$ | $T$ | $T$ |
| $T$ | $F$ | $F$ | $T$ |
| $F$ | $T$ | $F$ | $F$ |
| $F$ | $F$ | $F$ | $F$ |
Standard 11
Mathematics
