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Write each of these statements in the form "if p, then q" in English.

[Hint: Refer to the list of common ways to express conditional statements provided in this
section.]
a. [2pt] I will remember to send you the address only if you send me an e-mail message.
If you send me an e-mail message, then I will remember to send you the address.
b. [2pt] To be a citizen of this country, it is sufficient that you were born in the United
States.
If you were born in the United States, then you can be a citizen of the United States.
c. [2pt] If you keep your textbook, it will be a useful reference in your future courses.
If you keep your textbook, then it will be a useful reference in your future courses.
d. [2pt] The Red Wings will win the Stanley Cup if their goalie plays well.
If the Red Wings’s goalie plays well, they will win the Stanley Cup.
e. [2pt] That you get the job implies that you had the best credentials.
If you get the job, then you had the best credentials.
f. [2pt] The beach erodes whenever there is a storm.
If there is a storm, then beach erodes.
g. [2pt] It is necessary to have a valid password to log on to the server.
If you can log on to the server, then you must have a valid password.
h. [2pt] You will reach the summit unless you begin your climb too late.
If you begin your climb too late, then you will not reach the summit

User Jonny D
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1 Answer

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Answer:

A. If you send me an e-mail message, then I will remember to send you the address.

B. If you were born in the United States, then you can be a citizen of the United States.

C. If you keep your textbook, then it will be a useful reference in your future courses.

D. If the Red Wings’s goalie plays well, then they will win the Stanley Cup.

E. If you get the job, then you had the best credentials.

F. If there is a storm, then beach erodes.

G. If you can log on to the server, then you must have a valid password.

H. If you begin your climb too late, then you will not reach the summit

Explanation:

The statement which is written in the form, "if p, then q" symbolized by p-->q is known as a conditional statement. p is known as the hypothesis, while q is the conclusion. In such statements, the hypothesis and the conclusion may or may not have a correlation. But for the statement to be true, the conclusion must be true even if the hypothesis is wrong.

In statements A, the condition for sending the address is if I receive an email message.

In statement B, the condition for being a citizen is if one is born in the United States.

In statement C, the condition for my books to be a useful reference is if I keep them.

In statement D, the condition for winning the Stanley Cup by the Red Wings is if their Goalie plays well.

In statement E, the condition I get the job is if I had the best credentials.

In statement F, the condition for the beach eroding is if there's a storm.

In statement G, the only way I can log on to the server is if I have the correct password. In each of these statements, the conclusions correlates with the hypothesis. The conditions in the hypothesis need to be met for the conclusion to be true.

Statement H gives a conclusion which depends on not meeting the conditions of the hypothesis which is that if I don't start climbing the mountain early (if I start late), I will not reach the summit.

User Why
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