Answer
The given statement in symbolic form is\[\left( p\vee \sim p \right)\wedge \sim q\], and it gives truth value as true only when \[q\] is false and \[p\]can be either true or false.
Work Step by Step
Assume the statement:
\[p\]: You notice this notice.
\[q\]: This notice is worth noticing.
The given statement first shows the disjunction of the statement\[p\]and negation of the statement \[p\]itself and then conjunction with negation of the\[q\].
Hence, the given statement in symbolic form is\[\left( p\vee \sim p \right)\wedge \sim q\]. The truth table for the given statement is below:
From above truth table, it is clear that \[\left( p\vee \sim p \right)\wedge \sim q\]gives truth value as true only when \[q\] is false and \[p\]can be either true or false.
