The only valid solution set is
Graph the inequality and you'll see why.
takes on only negative values for all negative x
I-Think is absolutely correct . . .
The graph of is a V-shaped graph with its vertex at (2,0).Solve this inequality: .
The graph of is a hyperbola in the 1st and 3rd quadrants.Code:| \ |* / \| / \ * / |\ * / | \ oP | \ / * - - - - - - - + - * - - - - - * | * | * | * | | *| |
The graphs intersect at:
We see that on the interval: .
Of course it's possible and quite straightforward:
Eeach one of this must be solved separately.
First inequality: In order so that this works, we require that and, of course
Second inequality: But why we're allowed to do this, because in the original inequality we need to have otherwise there's no solution to this. How can a negative number be greater than a positive one? That's why we have thus the solution to this remaining inequality is
Almost full solution set will be given by and since we stated that it's our full solution set is actually