Kenneth Rosen Edition 6th Exercise 1.1 Question 19 (Page No. 18)

Question

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.]

• A. It snows whenever the wind blows from the northeast.
• B. The apple trees will bloom if it stays warm for a week.
• C. That the Pistons win the championship implies that they beat the Lakers.
• D. It is necessary to walk 8 miles to get to the top of Long’s Peak.
• E. To get tenure as a professor, it is sufficient to be world-famous.
• F. If you drive more than 400 miles, you will need to buy gasoline.
• G. Your guarantee is good only if you bought your CD player less than 90 days ago.
• H. Jan will go swimming unless the water is too cold.

Comments

in d. and e. i have a doubt can anyone resolve it ?

doubt?

d)It is necessary to walk 8 miles to get to the top of Long’s Peak.

if we compare with “a necessary condition for p is q“ so i think it would be “p-->q” so it is “if walk 8 miles, then get to top of long’s peak”. if this is not so how it should be “if u get to the top of Long's Peak then then you have to walk 8 miles”.

E)To get tenure as a professor, it is sufficient to be world-famous.

if compare with “p is sufficient for q” so here

p:to get tenure as a professor

q:to be world famous.

so it would be p→ q so (if get tenure as professor,then to be world famous)

 

please resolve this confusion

thank you

Answer 1

A) If the wind blows from the northeast , then it snows

B) if it stays warm for a week , then the apple trees will bloom

C) if  the Pistons win the championship then they beat the Lakers.

D) if u get to the top of Long's Peak then then you have to walk 8 miles

E) if u are world-famous then u will get tenure  as a professor

F) If you drive more than 400 miles, then you will need to buy gasoline

G) if your guarantee is good, then you bought your CD player less than 90 days ago

H) if the water is not too cold then Jan will go swimming

Comments

$p$ is sufficient for $q$

means $p\rightarrow q$

So, E) I think I have done correctly

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No. You did for "necessary".

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u mean "$a$ is sufficient for $q$ is $p$" this will applicable??