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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?. Inequalities. Who in the world is Pac-man?. Inequalities.

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Warm-Up

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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?


Inequalities

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.


Examples


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


Examples


Examples


Examples


Examples


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