# Systems of Inequalities by Tammy Wallace Varina High School.

## Presentation on theme: "Systems of Inequalities by Tammy Wallace Varina High School."— Presentation transcript:

Systems of Inequalities by Tammy Wallace Varina High School

What is a System of Inequality? A SYSTEM OF EQUATIONS is: SOLUTIONS to a SYSTEM OF INEQUALITIES are: two or more linear inequalities with the same variables being compared. all points within the overlapping shaded region that makes each inequality in system true. The graph of a system shows all of its solutions.

Find 2 possible solutions for each graph. If a solution can be on the line, make sure 1 of the 3 points are one that line. (0, 0) (2, 0) (1, 1) (-2, -3) (-1, 2) (1, -1)

Find 2 possible solutions for each graph. If a solution can be on the line, make sure 1 of the 3 points are one that line. (-2, 5) (-1, -4) (-4, 4) (0, -2) (1, 8) (-6, 0)

Using Slope Intercept Form to write the system of inequality for any given graph. Start with your y-intercept (b), then move to another the slope. After writing the equation in Slope-Intercept From, replace the equal sign with the appropriate inequality sign. Dotted Line Shaded Above Shaded Below Solid Line

Given the systems graphed, write the equations for the systems. b (0, 4) 0 y = 4 y < 4

Given the systems graphed, write the equations for the systems. b (0, -1) m m

Given the systems graphed, write the equations for the systems. The system of inequality is equal to: Which line can a solution to this system be located? Neither line because the lines are dotted. y < 4

Given the systems graphed, write the equations for the systems. b (0, 0) 1 y = x y > x m m m

Given the systems graphed, write the equations for the systems. b (0, 3) m m

Given the systems graphed, write the equations for the systems. The system of inequality is equal to: What are 3 solutions to the system? (1, 0) (-3, 2) (-2, -1) y > x

Download ppt "Systems of Inequalities by Tammy Wallace Varina High School."

Similar presentations