aim # 17: how do we solve and graph basic inequalities ?

AIM # 17: HOW DO WE SOLVE AND GRAPH BASIC INEQUALITIES?Do NowWhen x = ―3, is the following statement true?

18−2 𝑥=12No!

Check:18−2 (−3 )=12?

18+6=12?18+6=24X

What is an “Inequality?”

Any mathematical statement other than “is equal to.”

≠ “is not equal to”

“is never equal to”

“cannot be equal to”

> “is greater than”

“is more than”

“must be greater than”

< “is less than”

“must be less than”

≤ “is less than or equal to”

“is at most”

“is no more than”

≥ “is greater than or equal to”

“is at least”

“is no less than”

less than

NOTICE SOMETHING IMPORTANT:

is

NOTICE SOMETHING IMPORTANT:

isThe means it is

NOT subtraction!

Ex:“Ten less than a number is less than 45.”

TRANSLATES TO . . .

𝑛−10<45

Solving an inequality is just like solving an equation.

Graphing the solution to an inequality represents all the real numbers that make the inequality true.

𝑥<4

𝑥>4

𝑥≤ 4

𝑥≥ 4

𝑥≠4

𝑥=4

Guided Practice

Handout, Side 1, qq. 1, 5

Handout, Side 2, qq. 19, 23

Independent Practice

Handout, Side 1, qq. 2, 9

Handout, Side 2, qq. 20, 24

HW # 15 DUE WEDNESDAY

Our Textbook,

p. 324,

qq. 9--14

Answers on next page

HW # 15 DUE WEDNESDAYOur Textbook,

p. 324,ANSWERS

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