## Why do you flip the inequality sign?

Much like when **you** divide by a negative number, the **sign** of the **inequality** must **flip**! Here’s why: When **you** multiply both sides by a negative value **you** make the side that is greater have a “bigger” negative number, which actually means it is now less than the other side!

## When should you flip the inequality?

**Flip the inequality** sign when **you** multiply or divide both sides of an **inequality** by a negative number. **You** also often need **to flip the inequality** sign when solving **inequalities** with absolute values.

## Do you flip the inequality sign when subtracting?

**Subtracting** the same number from each side of an **inequality does** not **change** the direction of the **inequality symbol**. If a < b and if c is a positive number, then a · c < b · c. Multiplying each side of an **inequality** by a positive number **does** not **change** the direction of the **inequality symbol**.

## What are the rules of inequalities?

If you add the same number to both sides of an **inequality**, the **inequality** remains true. If you subtract the same number from both sides of the **inequality**, the **inequality** remains true. If you multiply or divide both sides of an **inequality** by the same positive number, the **inequality** remains true.

## What are the four inequality symbols?

These inequality symbols are: less than (<), **greater** than (>), less than or equal (**≤**), **greater** than or equal (≥) and the not equal symbol (≠).

## What happens to inequalities when you divide?

Multiplying or **dividing** both sides by a positive number leaves the **inequality** symbol unchanged. Rule 3. Multiplying or **dividing** both sides by a negative number reverses the **inequality**. This means < changes to >, and vice versa.

## How do you solve absolute value inequalities?

Isolate the **absolute value** expression on the left side of the **inequality**. If the number on the other side of the **inequality** sign is negative, your equation either has no solution or all real **numbers** as solutions. Use the sign of each side of your **inequality** to decide which of these cases holds.

## Does the inequality sign change when taking square root?

**Taking** a **square root** will not **change** the **inequality** (but only when both a and b are greater than or equal to zero).

## How did you find the solution set of each inequality?

**You** will **determine the solution set** of an **inequality** by equating them first into zero. After that try to substitute the value of X. Then after, **you** will **find** out the right sign that **you** will use.

## How do you know if inequality is AND or OR?

A compound **inequality** is just more than one **inequality** that we want to solve at the same time. We can either use the word ‘and’ or ‘or’ to indicate **if** we are looking at the solution to both **inequalities** (and), or **if** we are looking at the solution to either one of the **inequalities** (or).

## How do you simplify an inequality?

Summary. Many simple **inequalities** can be solved by adding, subtracting, multiplying or dividing both sides until you are left with the variable on its own. But these things will change direction of the **inequality**: Multiplying or dividing both sides by a negative number.

## How do you solve and inequality?

To **solve** a compound **inequality**, first separate it into two **inequalities**. Determine whether the answer should be a union of sets (“or”) or an intersection of sets (“and”). Then, **solve** both **inequalities** and graph.