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)
It’s not my answer but I think it’s correct!
The answer:
the total distance of the trip is 821 miles from home,
for this the car <span>gets 24 miles per gallon
</span>the average price of gas is $3.74 per gallon
the price can be calculated as:
for the trip,
24 miles-------------1 gallon
821 miles------------ x= 821/24=34.20 gallons
1 gallon------------- $3.74
34.20 gallons---------x=?
to find this value
34.20 gallons x $3.74 = $127.93.
Answer:
alternate interior..............