+130555
(x+1)/(2-x) < x/(3+x)
This might be solved easiest by some analysis
Let's divide the inequality into three iintervals
(-∞, -3), (-3, 2) and (2, ∞)
Notice that, on the first interval, the function on the left is always less than the function on the right
We can't say what happens at x = -3 because the function on the right isn't defined there
On the second interval, the function on the left is always greater than the function on the right
And at x = 2 the function on the left is undefined
On the third interval, the function on the left is again always less than the function on the right
So, the solution to this problem is that the intervals (-∞, -3) and (2, ∞) make the inequality true and the interval (-3, 2) makes it false
Here's a graph that confirms our suspicions.... https://www.desmos.com/calculator/ymvoluxlsa
+130555 Gotta' be careful here, gibsonj338
Your first answer is correct.....29 is the average
However, your other two answers are not averages......the second answer is the median .....it represents the "middle" value of an ordered data set
The third answer represents the mode......the number that appears most often in a data set....here, there is no mode, since no value appears more than once....
