Answer
If a grouping statement doesn’t contain parenthesis then grouping symbol is used based on their order of dominance.
Work Step by Step
If a grouping statement doesn’t contain parenthesis then grouping symbol is used based on their order of dominance.
Example:
The parenthesis is used based on their priority in descending order as:
Biconditional, conditional, conjunction/disjunction, negation.
Consider, the statements as:
\[p:\]The temperature is\[85{}^\circ \].
\[q:\]We finished studying.
\[r:\] We go to the beach.
Let assume symbolic statement as\[r\leftrightarrow q\wedge p\].
The parenthesis is not used in the provided statement. The parenthesis is used based on their priority in descending order as:
Biconditional, conditional, conjunction/disjunction, negation. To clarify the meaning of the given statement\[r\leftrightarrow q\wedge p\], use the parenthesis properly, so that meaning of statement becomes clear. The modified expression looks like\[r\leftrightarrow \left( q\wedge p \right)\]. The symbolic statements in parentheses remain on the same side of the comma in the English statement.
One of the possible English translationsof the symbolic statement \[r\leftrightarrow q\wedge p\] is:
The possible English translation is we go to the beach if and only if we finished studying and the temperature is above\[85{}^\circ \].
