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### Inequalities

Warm-Up

- How can you find the pattern in an arithmetic sequence?
- 108, 36, 12,…
- 2. What type of sequence is this?
- 3. Write an algebraic expression for this sequence?
- 4. What would the next term in the sequence be?

Who in the world is Pac-man?

Inequalities

- Inequalities compare two expressions, and state that one of the expressions is greater than, less than, less than or equal to, or greater than or equal toanother expression.
- Inequalities always have:
- <
- >

Pac-man and Inequalities

- Solving inequalities indicates that there is more than one answer for x.
- x > 6, reads that x could be any number greater than 6, but it could not be 6.
- We can graph this on the number line.

Graphing > and <

- >, <
- These signs show that x is greater than or less than a number. But the answer could not be that number.
- We would place an open circle above the number, which indicates that that number is not a possible solution

Examples

- x > 6
- x < -3

Graphing

- These signs indicate that x is greater than or equal to or less than or equal to a given number. Therefore the answer could be that number.
- We would graph these using a closed circle over the number.

Solving Inequalities

- Solving Inequalities is the same as solving equations
- Distribute
- Combine Like Terms
- SADMEP

- THE ONLY DIFFERENCE
- When you multiply or divide the variable by a negative number, you must flip it
- Flip it good

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