1. Solving Systems of Linear Inequalities
Algebra 1
7/31/2019
Solving Systems of Linear Inequalities
Objective: solve a linear system of inequalities by graphing.
Students solve a system of two linear equations in two variables algebraically and are able to interpret the answer graphically. Students are able to solve a system of two linear inequalities in two variables and to sketch the solution sets.

2. Monday’s Homework Any questions about the packet?
Please have the packet and homework log out on your desk.
Make sure the homework is 100% complete.
Incomplete work will NOT be accepted.

3. Warm-Up Graph. 1) Put in slope-intercept form.
2) Graph. Find m and b first.
b = beginning
m = move
3) Solid or Dashed?
Dashed
4) Shade above or below the y-intercept.
Below

4. Write a summary about today’s lesson.
To solve a system of ______ inequalities first put both equations into slope-________ form. Next find the m and b and plot your points. Make a _____/dashed line and then shade above/______ according to the sign. Do the same for the other equation. Now darkly ______ the overlap.
linear
intercept
solid
below
shade

5. Notes Steps to Graphing Linear System Inequalities
Write the equation in slope-intercept form.
Graph the y-intercept and slope.
Draw the line (solid or dashed).
Dashed line
Solid line
4. Lightly shade above or below the y-intercept.
Above y-intercept
Below y-intercept
5. Graph the other equation.
6. Darkly shade overlap.

6. Notes 1) Put in slope-intercept form.
Graph the system of linear inequalities.
Ex.
Solid
Below
2) Graph. Find m and b.
3) Solid or dashed?
4) Lightly shade above or below the y-intercept.
Dashed
5) Do the same for the other equation.
Above
6) Darkly shade overlap.

7. Notes 1) Put in slope-intercept form.
Graph the system of linear inequalities.
Ex.
Dashed
Above
2) Graph. Find m and b.
3) Solid or dashed?
4) Lightly shade above or below the y-intercept.
Dashed
Above
5) Do the same for the other equation.
6) Darkly shade overlap.

8. Notes Graph the system of linear inequalities. Ex. Dashed Above Solid
Below

9. Notes Graph the system of linear inequalities. Ex. Solid Dashed Below
Above

10. Worksheet 7.7 Today’s Homework Rules for Homework Pencil ONLY.
Must show all of your work.
NO WORK = NO CREDIT
Must attempt EVERY problem.
Always check your answers.

11. Class Work
Graph the system of linear inequalities.

12. Ticket Out the Door
Complete the Ticket Out the Door without talking!!!!!
Talking = time after the bell!
Put your NAME on the paper.
When finished, turn your paper face DOWN.
Graph the system of linear inequalities.