Final answer:
To write compound statements for given conjunctions or disjunctions and find their truth values, analyze the given statements and write compound statements based on the given conjunction or disjunction. The truth values of the compound statements depend on the truth values of the individual statements.
Step-by-step explanation:
To write a compound statement for each conjunction or disjunction and find its truth value, we need to analyze the given statements.
1. A dollar is equal to 100 cents and February isn't the month before January.
2. A dollar is equal to 100 cents or February isn't the month before January.
3. A dollar is equal to 100 cents and February isn't the month before January.
4. A dollar is equal to 100 cents or February isn't the month before January.
For statement 1, it can be written as 'A dollar is equal to 100 cents AND February isn't the month before January.' The truth value of this compound statement would depend on the truth values of the individual statements. If both statements are true, the compound statement is true.
For statement 2, it can be written as 'A dollar is equal to 100 cents OR February isn't the month before January.' The truth value of this compound statement would also depend on the truth values of the individual statements. If at least one of the statements is true, the compound statement is true.
We can follow the same process for statements 3 and 4 to write their compound statements and determine their truth values based on the truth values of the individual statements.