91Ó°ÊÓ

Write the negation of each conditional statement. If I am in Houston, then I am in Texas.

Construct a truth table for the given statement. \(\sim p \rightarrow q\)

a. Use a truth table to show that \(p \rightarrow q\) and \(\sim p \vee q\) are equivalent. b. Use the result from part (a) to write a statement that is equivalent to If a number is even, then it is divisible by \(2 .\)

Use Euler diagrams to determine whether each argument is valid or invalid. All clocks keep time accurately. All time-measuring devices keep time accurately. Therefore, all clocks are time-measuring devices.

Determine whether or not each sentence is a statement. On January 20, 2017, Hillary Clinton became America's 45 th president.

Determine whether or not each sentence is a statement. Take the most interesting classes you can find.

Use Euler diagrams to determine whether each argument is valid or invalid. All humans are warm-blooded. No reptiles are human. Therefore, no reptiles are warm-blooded.

Use Euler diagrams to determine whether each argument is valid or invalid. All comedians are funny people. Some funny people are professors. Therefore, some comedians are professors.

Let \(p\) and q represent the following simple statements: p: I study. \(q:\) I pass the course. Write each compound statement in symbolic form. I do not study or I do not pass the course.

Use a truth table to determine whether the symbolic form of the argument is valid or invalid. \(p \rightarrow q\) \(\frac{q \wedge r}{\therefore p \vee r}\)