Answer:
Ten times a number minus 3 is greater than three times the number plus eleven
Step-by-step explanation:
we have the inequality
10x-3 > 3x+11
Let
x ----> a number
As a word problem will be
10x -----> Ten times a number x
+ ----> plus
-3 -----> negative 3
> greater than
3x ----> three times a number x
11 ----> eleven
therefore
Ten times a number minus 3 is greater than three times the number plus eleven
Answer: 50
Step-by-step explanation:
From the question, we are informed that 1/3 of gym members say they spent 5 hours per week at the gym.
Assuming there are 150 people working out at the gym, the number of people that'll most likely spend 5 hours at the gym this week will be calculated by multiplying 1/3 by 150. This will be:
= 1/3 × 150
= 50 people
The answer to this question is 2 because 3-3=0×6=0+2=2
We can convert grams to kilograms by dividing by 1000.
3500÷1000=3.5kg
Now we subtract this from her original weight
65.5-3.5= 62kg
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."