2 + k > 0 => k > -2.
The last inequality should beThe graph must be a 'floating' graph on the positive side . I am not sure if i can say it that way. Thus , it has no real roots ..
I got the wrong range of values for k . Where is my mistake ?
So, divide both sides by -4:
The solution set for k is
But I said earlier that k must be greater than -2, so intersect this with the solution set and you get