Solving Quadratic

Inequalities October 9,

2015

SWBAT: Solve Quadratic Inequalities

SWBAT: Solve Quadratic Inequalities

8x - 4 20 or 8x - 4 -20 +4 +4

8x 24 +4 +4

8x -16 8 8 8 8

x -2 or x 3

x 2 or x 3

𝒙𝒙

Eliminate 3&4, bc

those are for less than’s!

SWBAT: Solve Quadratic Inequalities

Less ThAND

greatOR

SWBAT: Solve Quadratic Inequalities

SWBAT: Solve Quadratic Inequalities

𝒚𝒆𝒔 !

-15

-2-53

(𝒙−𝟓 )=𝟎

𝒙=−𝟑 𝒙=𝟓

Less thAND

Ans:−𝟑

AND

SWBAT: Solve Quadratic Inequalities

𝒓𝟏

8 6

24

(𝒙+𝟐 )=𝟎

𝒙=−𝟒 𝒙=−𝟐

−𝟒

Answer:

SWBAT: Solve Quadratic Inequalities

𝑵𝑶 ! greatOR

-24

-2-64

(𝒙−𝟔 )=𝟎

𝒙=−𝟒 𝒙=𝟔OR

−𝟒

𝒙<−𝟒𝒐𝒓 𝒙>𝟔

SWBAT: Solve Quadratic Inequalities

𝒓𝟏 (𝒙−𝟓 ) (𝒙+𝟐 )=𝟎

(𝒙−𝟓 )=𝟎 𝒙=−𝟐

(𝒙+𝟐 )=𝟎-10 -3

2-5

−𝟐

Answer:

SWBAT: Solve Quadratic Inequalities

𝑵𝑶 ! greatOR

6 7

61 (𝟐 𝒙+𝟏)(𝟐 𝒙+𝟔)(𝟐 𝒙+𝟏)(𝒙+𝟑)

reduce binomials

(𝒙+𝟑 )=𝟎

𝒙=−𝟏𝟐 𝒙=−𝟑

OR

−𝟑

𝒙<−𝟑𝒐𝒓 𝒙>−𝟏𝟐

SWBAT: Solve Quadratic Inequalities

𝒓𝟏 “Rainbow method”

3 4

1 3

(𝒙+𝟏 )=𝟎𝒙=−𝟏

(𝟑 𝒙+𝟏 )=𝟎

- −𝟏

Answer:

÷𝟑

SWBAT: Solve Quadratic Inequalities

-5 4

5-1(𝒙−𝟏 )=𝟎

𝒙=−𝟓(𝒙+𝟓 )=𝟎

-3 -2

1-3(𝒙−𝟑 )=𝟎 𝒙=−𝟏

(𝒙+𝟏 )=𝟎

SWBAT: Solve Quadratic Inequalities