# Question #4c249

##### 2 Answers

#### Answer:

Selection B.

#### Explanation:

Given:

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:

Simplify:

This matches selection B.

#### Answer:

B

#### Explanation:

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: