In the solution for this problem, the probability for P[X + 10/x > 7] is simplified to P[(X - 5)(X - 2) > 0]. I can see how this is done by easily manipulating the inequality. However, the next step in the solution states:

P[(X - 5)(X - 2) > 0] = P[X > 5] + P[X < 2]

I don't understand why it's P[X < 2] and not P[X > 2]. Can someone clear this up for me? I'm sure it's an easy justification, but for some reason it's not obvious to me.

Thanks!