Answer:
The proof contains a simple direct proof, wrapped inside the unnecessary logical packaging of a proof by contradiction framework.
Step-by-step explanation:
The proof is rigourous and well written, so we discard the second answer.
This is not a fake proof by contradiction: it does not have any logical fallacies (circular arguments) or additional assumptions, like, for example, the "proof" of "All the horses are the same color". It is factually correct, but it can be rewritten as a direct proof.
A meaningful proof by contradiction depends strongly on the assumption that the statement to prove is false. In this argument, we only this assumption once, thus it is innecessary. Other proofs by contradiction, like the proof of "The square root of 2 is irrational" or Euclid's proof of the infinitude of primes, develop a longer argument based on the new assumption, but this proof doesn't.
To rewrite this without the superfluous framework, erase the parts "Suppose that the statement is false" and "The fact that the statement is true contradicts the assumption that the statement is false. Thus, the assumption that the statement was false must have been false. Thus, the statement is true."
Answer:
a) 94 degrees lower
b) -17 degrees
Step-by-step explanation:
you should draw a number line to visualize what i'm saying..
basically any number that has a greater value but is negative is obviously lower than a smaller negative value
for example: take -563 that is a lot less than -31 because its farther down the number line
okay to find the answer to question a) you need to obviously find the difference between -29 and 65 to do that you need to count the space in between -29 and 65 on a number line.
There's actually a much easier method just use your common sense and some math: so you can say the distance from 0 to 65 is … 65 and the distance from -29 to 0 is 29 so to find the total distance you add them up and you get your answer! (94)
for b) its even easier you just take the number -29 and add 12 from it to get closer to 0 so to do that you need to subtract 12 to get a smaller number but bigger value on the number line (if you draw this one out it will make sense). And the answer is... -17! I hope this made sense :)
Answer:
J and L
Step-by-step explanation:
<u>Answer:</u>
The correct answer option is B. both a function and a relation.
<u>Step-by-step explanation:</u>
We are given a from from which we can see that for each input we have exactly one output.
This means that we have a function because each element in the domain is matched with exactly one element in the range.
It is also a relation since each input related to the out put in some way.
Therefore, the correct answer option is B. both a function and a relation,
