Answer:
Option d
Step-by-step explanation:
Other options are not eligible because
a) Integers are not irrational
b)Whole numbers start from 0 and consists positive integers only.But integers consist negative integers also.
c)Natural number consists of positive integers only.
If the question had been asked as some integers are also, then options b) and c) could have been written . But in this case , it is asked every integer is also.
Thank you!
C and D because in that image that is what an proportional relationship looks like so anything that looks like the graph in the photo or c and d is proportional
So you would distribute what's in the parenthesis and end up with 4x-2x-6=x+1, then you combine like terms and end up with 2x-6=x+1, now you can add 6 to both sides or subtract 1 both sides (basically anything goes for this step just make sure you apply the same thing on both sides) so I'll add 6 and continue just to show you... then you end up with 2x=x+7 then you subtract 1x on both sides to get x=7. sorry it's a lot hopefully you get it know!
When
, we have


and of course 3 | 6. ("3 divides 6", in case the notation is unfamiliar.)
Suppose this is true for
, that

Now for
, we have

so we know the left side is at least divisible by
by our assumption.
It remains to show that

which is easily done with Fermat's little theorem. It says

where
is prime and
is any integer. Then for any positive integer
,

Furthermore,

which goes all the way down to

So, we find that

QED
Answer:
1 to 75
2 to 120
3 to 165
4 to 210
5 to 255
Step-by-step explanation: