Subtract 5x from both sides of the inequality:
When we divide both sides by negative number (in this case -3), we must change the direction of the inequality:
This matches selection B.
All of these inequalities have y as the subject. So lets manipulate our given inequality, almost like it is an equation, to make y the subject.
Now, this part is where we need to remember we are dealing with an inequality, not an equation. With an inequality, when dividing by a negative number, you need to flip the sign. I'll show why later on.
Keeping this in mind:
Now, to show why you can't divide by -1 normally
Everything we do with an equation is fine.
Now, for an inequality:
So far, so good. Now dividing by a negative.
Oops, this is wrong. Evaluating both sides we get:
Which is wrong. Therefore, flipping the sign: