Algebra I_7.6 (part 2)_Feb 12-13

1

Warm−upAre the following ordered pairs solutions of the inequality?

1.) 5x + 4y ≥ 6; a.) (2, −4) b.) (0, 0)

5x + 4y ≥ 6 5x + 4y ≥ 6

NO, (2, −4) is not a solution

FalseNO, (0, 0) is not a solution

False

Solving Systems of Linear InequalitiesEx.1aGraph the system of linear inequalities

Note: when graphing a system of inequalities, it is helpful to find each corner point or vertex

Algebra I: 7.6 (part 2)

y < 2

x ≥ −1

special lineTrue

special line≥ True

test point

y > x − 2y = mx + b

Trueriserun = 1

y

x

Algebra I_7.6 (part 2)_Feb 12-13

2

Ex.1bGraph the system of linear inequalitiesx < 4

y > −3

y ≤ ½x − 1

Your Turn

Ex.1bGraph the system of linear inequalities

Answer

x < 4

y > −3

y ≤ ½x − 1

riserun =

test point

False

y

x

Algebra I_7.6 (part 2)_Feb 12-13

3

Ex. 2 Solution Region Between parallel lines

Graph the system:

y < 3

y > 1

Ex. 2 Solution Region Between parallel lines

Spe

cial

Lin

es

test point

Graph the system:

y < 3

y > 1

y

x

True

True

Algebra I_7.6 (part 2)_Feb 12-13

4

Ex.3aGraph the system of linear inequalities

y ≤ −2x + 2 2x + 3y < 6

Graph the system of linear inequalities

Ex.3a

y ≤ −2x + 2 2x + 3y < 6y = mx + b

True

3 3

3

True

test point

y

Algebra I_7.6 (part 2)_Feb 12-13

5

Graph the system of linear inequalities

Ex.3b

3x + 2y ≥ 8 x − 2y ≤ −6

Graph the system of linear inequalities

Ex.3b

3x + 2y ≥ 8 x − 2y ≤ −6

y ≥ x + 432

test point

False

y x + 312≥

False

Algebra I_7.6 (part 2)_Feb 12-13

6

Graph the system of linear inequalities

Ex.3c Your Turn

3x + y ≤ 7 5x − 3y ≥ −9

Graph the system of linear inequalities

Ex.3c Answer

3x + y ≤ 7 5x − 3y ≥ −9

y ≤ −3x + 7

test point

≤y x + 353True

True

Algebra I_7.6 (part 2)_Feb 12-13

7

7.6 (part 2)Assignment

"Which Member of Fred Ferd's Family..."Pizzazz Worksheet

or

p. 435 - 436#'s 1, 9−11 (matching),

15, 18, and 24

x ≥ 2y ≤ −2

y > − x − 2 53

y ≤ 1x + 0

Selected Answers