First of all, we can observe that

So the expression becomes

This means that the expression is defined for every 
Now, since the denominator is always positive (when it exists), the fraction can only be positive if the denominator is also positive: we must ask

Since we can't accept 3 as an answer, the actual solution set is
![(-\infty,-2] \cup [2,3) \cup (3,\infty)](https://tex.z-dn.net/?f=%28-%5Cinfty%2C-2%5D%20%5Ccup%20%5B2%2C3%29%20%5Ccup%20%283%2C%5Cinfty%29)
Answer:
Step-by-step explanation:
Consider Cotters paid "x" dollars:
According to given condition:
Moores paid "x+6" dollars.
Both paid total $30
Hence,
(x) + (x+6) = 30
Solving for x:
2x +6 = 30
2x = 30-6
2x = 24
x = 24/2
x = 12
So amount paid by Moores = x +6 = 12+6 = $18
*****To find number of pairs of skates: price of one pair must be given.
Please post complete question.
Answer:
70 degrees
Step-by-step explanation:
x = angle
180 - x = it's supplement
90 - x = it's compliment
(180 - x) - 4(90 - x) = 30
180 - x - 360 + 4x = 30
reducing
3x = 210
x = 70