solving inequalities. what are inequations? statements showing inequalities one quantity or...

6
Solving Solving Inequalities Inequalities

Upload: piers-arnold

Post on 04-Jan-2016

213 views

Category:

Documents


0 download

TRANSCRIPT

Page 1: Solving Inequalities. What are Inequations? Statements showing inequalities One quantity or expression is not equal to another

Solving InequalitiesSolving InequalitiesSolving InequalitiesSolving Inequalities

Page 2: Solving Inequalities. What are Inequations? Statements showing inequalities One quantity or expression is not equal to another

What are Inequations?

• Statements showing inequalities• One quantity or expression is not

equal to another

Page 3: Solving Inequalities. What are Inequations? Statements showing inequalities One quantity or expression is not equal to another

Manipulating Inequations

-3 < 4Add 5 to each side

-3 + 5 < 4 + 52 < 9

It’s still true!

Page 4: Solving Inequalities. What are Inequations? Statements showing inequalities One quantity or expression is not equal to another

Manipulating Inequations…

-3 < 4Multiply each side by 5

-3 x 5 < 4 x 5-15 < 20

True again!

Page 5: Solving Inequalities. What are Inequations? Statements showing inequalities One quantity or expression is not equal to another

Manipulating Inequations…

-3 < 4Multiply each side by -5

-3 x -5 < 4 x -515 < -20

Uh oh…

Page 6: Solving Inequalities. What are Inequations? Statements showing inequalities One quantity or expression is not equal to another

Rule:

If we multiply or divide each side of an inequation by the same

NEGATIVE number, we must REVERSE the inequality sign

Let’s do an example…12 – x < -6 + 2x