Hi!
55<35+10x
Move 35 to the left, using the opposite operation:
55-35<10x
20<10x
Divide both sides by 10:
2<x
Since 2 is greater than x, x is less than 2:
x<2 (Answer)
Hope it helps!
Enjoy your day!
~Misty~
For this case we have the following functions:

By definition we have to:

Substituting:

The range of the function is given by all values of "and" valid. That is, all the real numbers.
ANswer:
(-∞,∞)
Graphic attached
The general form of the equation of a circle is,
x² + y² + Dx + Ey + F = 0, where D, E, F are constants.
The given equation is 7x² + 7y² − 28x + 42y − 35 = 0. So, to convert this equation into a general form we just need to get rid of the leading coefficient 7.
Hence, divide both sides of the equation by 7. So,

x² + y² − 4x + 6y − 5=0.
So, the general form of the equation is x² + y² − 4x + 6y − 5=0.
You can build as many numbers as you like: just pick three primes and repeat them as required.
The only caution is that you have to pick large enough primes to make sure that the result is larger than 1000.
Since
, it is enough that the prime repeating three times is larger than 10.
So, for example, we can pick
- 2, not repeating
- 3, repeating twice
- 11, repeating 3 times
The result is
