The initial inequality is broken into 2 inequalities:

Then we solve each of the inequalities and find the intersection for the solutions.

The solution for the first inequality is: y < 6, that is (-~, 6).

The solution for the second inequality is: y >= -5, that is [-5, +~).

The intersection for the intervals (-~, 6) and  [-5, +~) is [-5, 6)

When solving inequalities, you might want to use the 'Graph' tab because it provides graphical solution as well.