Answer
Simple statements are:
p: You are wealthy.
q: You are happy.
r: You live contentedly.
Symbolic form is \[\sim \left( p\to \left( q\wedge r \right) \right)\]
Work Step by Step
The given compound statement can be written in simple statements as\[p,\text{ }q,\text{ and }r\]. Here, \[p,\text{ }q,\text{ and }r\] represents three simple statements.
p: You are wealthy.
q: You are happy.
r: You live contentedly.
Use the representation to re-write the statement as:
It is not true that, p is a sufficient condition for q and r.
‘Sufficient condition’ is represented by the symbol ‘\[\to \]’, ‘And’ is represented by the symbol ‘\[\wedge \]’, and ‘Not’ is represented by the symbol ‘\[\sim \]’.
Use the symbols to write the compound statement in symbolic form as:
\[\sim \left( p\to \left( q\wedge r \right) \right)\]
