Let p represent "I will pass my lifeguard test"and let q represent "I will have fun this summer." Translate each statement into words: a. pV-q I will have fun this summer and I will pass my lifeguard test. I will have fun this summer, or I will pass my lifeguard test. I will pass my lifeguard test, or I will not have fun this summer. I will have fun this summer and I will not pass my lifeguard test. If I will not pass my lifeguard test, then I will not have fun this summer. If I will pass my lifeguard test, then I will have fun this summer. b. qwedge -p I will have fun this summer and I will pass my lifeguard test. I will have fun this summer, or I will pass my lifeguard test. If I will pass my lifeguard test, then I will have fun this summer. I will have fun this summer and I will not pass my lifeguard test. I will pass my lifeguard test, or I will have fun this summer. If I will not pass my lifeguard test, then I will not have fun this summer. Question 4 Determine whether the following argument is inductive or deductive: The sun rose yesterday,and it has risen every other day of my life. Therefore, the sun rises every day."

Let's address each part of your question:<br /><br />a. For the expression \( p \vee \neg q \):<br /><br />- \( p \) represents "I will pass my lifeguard test."<br />- \( \neg q \) represents "I will not have fun this summer."<br />- The logical operator \( \vee \) means "or."<br /><br />So, \( p \vee \neg q \) translates to: "I will pass my lifeguard test, or I will not have fun this summer."<br /><br />b. For the expression \( q \wedge \neg p \):<br /><br />- \( q \) represents "I will have fun this summer."<br />- \( \neg p \) represents "I will not pass my lifeguard test."<br />- The logical operator \( \wedge \) means "and."<br /><br />So, \( q \wedge \neg p \) translates to: "I will have fun this summer and I will not pass my lifeguard test."<br /><br />Question 4: Determine whether the following argument is inductive or deductive:<br /><br />"The sun rose yesterday, and it has risen every other day of my life. Therefore, the sun rises every day."<br /><br />This argument is inductive. Inductive reasoning involves making generalizations based on specific observations or experiences. In this case, the conclusion that "the sun rises every day" is based on past observations of the sun rising, which suggests a pattern but does not guarantee it with absolute certainty.