-55 is an i
nteger.
It is not a whole number because it is negative.
It is not a natural number because it is not a whole number.
It is not irrational because it can be written as a fraction

.
The problem statement gives rise to two equations.
w = 30 + p . . . . . w is 30 more than p
w = 5 - p . . . . . .. w is p less than 5
Add these two equations to get
2w = 35
w = 35/2 = 17.5
p = 5 - w = -12.5
The unknown number w is 17.5.
The unknown number p is -12.5.
I'm assuming your function is f(x) = -9^(x+1)
So we just have to plug in and see if the function is true.
1) -9^(0+1) = -9^1 = -9
YES
2) -9^(1+1) = -9^2 = -81
NO
3) -9^(-1+1) = -9^0 = -1
YES
So, the first thing we need to know is what is what.
So, A natural number is a whole number
A whole number is an integer
and An integer is a rational number.
Now, since there is a terminating decimal (a decimal that does not go on forever) we know it is a rational number.
Since there is a decimal, it cannot be an integer, therefore
It is a rational number
Answer: 33
To maximize the length of the third side, which I'll call x, it needs to be the longest side.
So by the triangle inequality theorem, 19+15>x, meaning the maximum whole number value of x is 33.