Consider the following statement. If you are the president of the United States, then your age is at least 35. (a) Write the converse of the given statement. If you are not the president of the United States, then your age is less than 35. If your age is less than 35, then you are the president of the United States. If you are the president of the United States, then your age is less than 35. If your age is at least 35, then you are the president of the United States. If you are not the president of the United States, then your age is at least 35. If your age is less than 35, then you are not the president of the United States. (b) Write the inverse of the given statement. If you are not the president of the United States, then your age is less than 35. If your age is less than 35, then you are the president of the United States. If you are the president of the United States, then your age is less than 35. If your age is at least 35, then you are the president of the United States. If you are not the president of the United States, then your age is at least 35. If your age is less than 35, then you are not the president of the United States. (c) Write the contrapositive of the given statement. If you are not the president of the United States, then your age is less than 35. If your age is less than 35, then you are the president of the United States. If you are the president of the United States, then your age is less than 35. If your age is at least 35, then you are the president of the United States. If you are not the president of the United States, then your age is at least 35. If your age is less than 35, then you are not the president of the United States.

Suppose that the given statements are true. Find the other true statements. (a) Given: If the window is above the door, then Austin's cousin is a girl. Which statement must also be true? - If Austin's cousin is a girl, then the window is above the door. - If Austin's cousin is not a girl, then the window is not above the door. - If the window is not above the door, then Austin's cousin is not a girl. (b) Given: If the bike is fast, then Rachel sleeps on the floor. The bike is fast. Which statement must also be true? - The bike is not fast. - Rachel sleeps on the floor. - Rachel does not sleep on the floor. (c) Given: If David knows how to dance, then the tires are old. If the tires are old, then my favorite movie is being shown. Which statement must also be true? - If my favorite movie is being shown, then the tires are old. - If David knows how to dance, then my favorite movie is being shown. - If my favorite movie is being shown, then David knows how to…

Let p and q represent the following statements. p: This is an octopus. q: The aquarium is full of fish. Write the following compound statement in its symbolic form. The aquarium is not full of fish if and only if this is an octopus. The statement "The aquarium is not full of fish if and only if this is an octopus." is written

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Identify the argument as converse fallacy or inverse fallacy All Employees Regularly Late will be Fired. Sharon was fired. ⇒ Sharon was regularly late.