TODAY IN ALGEBRA…

WARM UP: Graphing linear inequalities

Learning Goal: 7.6 Solve systems of Linear Inequalities

Independent Practice

Ch.7 TEST-Wednesday/Thursday

WARM UP: Graph the linear inequalities on the same graph.

KEYS TO GRAPHING:Lines depend on the signs:

dotted: solid:

Shading depends on the signs: : :

¿ ,>¿≤ ,≥

Above lineBelow line

7.6 SOLVE SYSTEMS OF LINEAR INEQUALITIES

Using our warm up as our first example:

The darker purple area is the shaded area that both graphs intersect. This where ALL the solutions for this system can be found.

EX. Is the point a solution to this system?

YES!This point can be found in the purple area.

(0 ,1)

7.6 SOLVE SYSTEMS OF LINEAR INEQUALITIES

Using our warm up as our first example:

EX 2. Is the point a solution to this system?

NO!

This point can be found on the dotted line of the first equation.

Points on dotted lines are NOT solutions!

(−1 ,−1)

KEYS TO GRAPHING:Lines depend on the signs:

dotted: solid:

Shading depends on the signs: : :

¿ ,>¿≤ ,≥

Above lineBelow line

Horizontal lineVertical line ,Dotted line

,Solid line

,Shade above,Shade to the right

In this triangle represents all the solutions.

7.6 SOLVE SYSTEMS OF LINEAR INEQUALITIES: Graphing

In this triangle represents all the solutions.EX. Is a solution to this

system? NO!

The point is on the dotted line of the second equation.

Points on dotted lines are NOT solutions!

(−2 ,1)

7.6 SOLVE SYSTEMS OF LINEAR INEQUALITIES: Graphing

KEYS TO GRAPHING:Lines depend on the signs:

dotted: solid:

Shading depends on the signs: : :

¿ ,>¿≤ ,≥

Above lineBelow line

Horizontal lineVertical line ,Dotted line

,Solid line

,Shade above,Shade to the right

In this triangle represents all the solutions.

7.6 SOLVE SYSTEMS OF LINEAR INEQUALITIES: Graphing

In this triangle represents all the solutions.

7.6 SOLVE SYSTEMS OF LINEAR INEQUALITIES: Graphing

EX. Is a solution to this system?

YES!

The point is on the solid line of the second equation.

Points on solid lines ARE solutions!

(3 ,0)

7.6 SOLVE SYSTEMS OF LINEAR INEQUALITIES

EXAMPLE: Write a system given the graph.

slope:y-intercept:

dotted lineshaded above

horizontal line solid lineShaded above

7.6 SOLVE SYSTEMS OF LINEAR INEQUALITIES

EXAMPLE: Write a system given the graph.

slope:y-intercept:

solid lineshaded below

horizontal line dotted lineShaded below

HOMEWORK #5:

Pg. 469: 3-8, 10-26 even

If finished, work on other assignments:

HW #1: Pg. 430: 3-10, 12-15, 22, 23, 32HW #2: Pg. 439: 4-24 even, 31HW #3: Pg. 447: 4-22 evenHW #4: Pg. 454: 4-26 even, 38