Given the statements: p : the subject is difficult q : I will do my best Which of the following is equivalent to 'Although the subject is difficult, I will ...
Which of the following is equivalent to 'Although the subject is difficult, I will do my best'?
Answer Details
The given sentence can be rewritten as "Despite the subject being difficult, I will do my best." We can now use the logical operators to find the equivalent statement. "Despite the subject being difficult" can be represented as \(\sim p\) (not p), and "I will do my best" is equivalent to q. Then, the statement "Although the subject is difficult, I will do my best" is equivalent to \(\sim p \wedge q\). Therefore, the correct option is \( \sim p \wedge q \).