Review topics Inequalities

Warm Up Graph each inequality. 1. x > –5 2. y ≤ 0 3. Write –6x + 2y = –4 in slope-intercept form, and graph. y = 3x – 2

Inequalities and their Graphs What is a good definition for Inequality? An inequality is a statement that two expressions are not equal

Inequalities

Two types Graphing on a number line: Graphing on a coordinate graph

Inequalities and their Graphs Terms you see and need to know to graph inequalities correctly Notice open circles < less than > greater than

Inequalities and their Graphs Notice colored in circles ≤ less than or equal to ≥ greater than or equal to

Inequities in coordinate plane match each inequality with a graph.

Objective - To graph linear inequalities in the coordinate plane. Number LineCoordinate Plane y x x = 3

Number LineCoordinate Plane y x y = -2

Boundary Line Test a Point False! y x

If y = mx + b, soliddashed shade up shade down

Boundary Line Dashed line Shade up y x If y = mx + b,

y x Solid line Shade up If y = mx + b,

y x Dashed line Shade down If y = mx + b,

y x Solid line Shade up If y = mx + b,

y x Dashed line Shade up If y = mx + b,

y x Dashed line Shade Down If y = mx + b, Write the inequality described by the graph below

Determine whether the given point is a solution to the inequality -2x + 3y < 9. 1) (2, -3) Yes, (2,-3) is a solution. 2) (3, 5) No, (3,5) is not a solution.

Problem If you have less than $5.00 in nickels and dimes, find an inequality and sketch a graph to describe how many of each coin you have. Let n = # of nickels Let d = # of dimes 0.05 n d < 5.00 or 5 n + 10 d < 500

nd n d

Test Yourself Click here to go through a multiple choice question setClick here to go through a multiple choice question set

ON YOUR OWN: Review your notes. Rewrite and fortify them if needed. Update your vocab list, if needed. See worksheet handed out in class.