## What If I settle It, yet "x" Is top top The Right?

No matter, just swap sides, but **reverse the sign** so it still "points at" the correct value!

Note: "x" **can** be on the right, yet people usually favor to watch it ~ above the left hand side.

You are watching: If you multiply by a negative in an inequality does the sign change

## Multiplying or separating by a Value

Another thing we carry out is multiply or divide both sides by a value (just together in Algebra - Multiplying).

But we have to be a bit more careful (as you will certainly see).

** confident Values**

**Everything is well if we desire to multiply or division by a hopeful number**:

### Example: 3y When we multiply or division by a negative number ** we must reverse** the inequality. ** **

**Why?**

**Why?**

Well, just look in ~ the number line!

For example, indigenous 3 come 7 is **an increase**, ** however from −3 to −7 is a decrease. **

See how the inequality sign reverses (from ) ?

## Multiplying or separating by Variables

Here is another (tricky!) example:

### Example: bx 3

But us don"t understand if b is hopeful or negative, therefore **we can"t prize this one**!

To help you understand, imagine replacing **b** through **1 or −1** in the example of **bx if b is 1, climate the prize is x however if b is −1, then us are solving −x 3 **

**The answer could be x 3 and we can"t choose due to the fact that we don"t understand b.**

See more: What Is The Difference Between Clams And Oysters And Clams (With Table)

**So:**

**Do not** shot dividing by a variable to deal with an inequality (unless you know the variable is constantly positive, or constantly negative).

## A bigger Example

### Example: *x−3***2** *x−3***2** **×2** *6−2x***3** > x > −3

And that is the solution!

But to be neat the is better to have actually the smaller sized number ~ above the left, larger on the right. So let united state swap them end (and make sure the inequalities allude correctly):

−3 x 6

## Summary

Many straightforward inequalities have the right to be fixed by adding, subtracting, multiplying or splitting both sides till you are left v the variable on the own. But these points will readjust direction the the inequality: multiplying or dividing both political parties by a**negative**number Swapping left and also right hand political parties Don"t multiply or division by a

**variable**(unless you know it is constantly positive or constantly negative)