Identify the hypothesis and conclusion in the following propositions, and state their truth values. Then determine whether the entire proposition is true or false.

If London is in Mongolia, then Chicago is in America.

Identify the hypothesis and conclusion in the following propositions, and state their truth values. Then determine whether the entire proposition is true or false.

If pigs can fly, then fish can brush their teeth.

The central metaphor of the poem is that of the lovers' hearts being tied together. What will this accomplish for the lovers?

Identify the hypothesis and the conclusion in the following conditional proposition, and state their truth values. Then find whether the entire proposition is true or false. If trout can swim, then trout are fish.

Create your own example of a proposition that has the given property.

A false conditional proposition with a true converse.

Create your own example of a proposition that has the below given property. A false conditional proposition with a true converse

Explain what the "sky's starry questions" might mean.

Analyze the following situations, and explain what decision you would make and why.

You fly frequently between two cities $1500$ miles apart. Average round-trip cost on Airline $\mathrm{A}$ is $\$ 350$. Airline B offers the same trip for only $\$ 325$. However, Airline $\mathrm{A}$ has a frequent flyer program in which you earn a free round-trip ticket after you fly $25,000$ miles. Airline $\mathrm{B}$ does not have a frequent flyer program.

Write the converse, inverse, and contrapositive of the given propositions. Of these four propositions, state which pairs are equivalent.

If Teresa works in Boston, then she works in Massachusetts.

Write the given argument as a chain of conditional propositions that have the form if $p$, then $q$. Then determine the validity of the entire argument.

Premise: $\qquad$ If taxes are increased, then taxpayers will have less disposable income. Premise: $\qquad$ With less disposable income, spending will decrease and the economy will slow down. Conclusion: $\quad$ A tax increase will slow down the economy.

Explain the meaning of the given statement, which contains a multiple negation. Then answer the question that follows.
Paul denies that he opposes the plan to build a new dorm. Does Paul support or oppose building a new dorm?

The following propositions have the form $p$ and $q$. State $p$ and $q$, and give their truth values. Then determine whether the entire proposition is true or false, and explain why.
The Mississippi River flows through Louisiana and the Colorado River flows through Arizona.

The following propositions have the form $p$ and $q$. State $p$ and $q$, and give their truth values. Then determine whether the entire proposition is true or false, and explain why.
Cucumbers are vegetables and apples are fruit.

Explain the meaning of the following given statement, which contains a multiple negation. Then answer the question that follows. The mayor opposes the ban on anti-fracking rallies, Does the mayor approve of allowing the rallies?