You can
put this solution on YOUR website!Solving inequalities can most easily be solved by graphing calculator methods.
First of all, did you mean
or did you mean
? I think you probably meant the first. I will solve this one, and if I have misinterpreted your problem, then either let me know by Email or re-post the problem and we'll give it another try.
The first step is to graph
. Because the problem says <0, you need to find all values of x for which the graph is BELOW THE X-AXIS! If the problem had been
, then you would draw the same graph, but to solve this one, you need to find all values of x where the graph of
is ABOVE THE Y-AXIS!
So here is the graph:
Notice that the graph crosses the x-axis at x= 3. Notice that it looks like a vertical line at x=-5. This is actually an ASYMPTOTE, which SHOULD be drawn with a DOTTED LINE. An asymptote is a value of x where the graph will go off to infinity--it never quite gets to that value of x, which in this case is at x= -5. Notice that this graph is BELOW THE X-AXIS from -5 to 3, so the answer is
. Interval notation for this problem will be (-5,3).
This may not have been what you were expecting in a problem. I think it's MUCH easier than the old ways that I used to teach.
R^2 at SCC
