Chapter 8 Unit Question How do inequalities affect algebraic concepts?

Open Learning Logs Date on Left…Section 8 – 9 on right To do the warm-up, you need to make TWO coordinate planes (like the one on the white board) in your Learning Logs.

Graph 1st,substitute (0,0) and SHADE!!! Up 2 Over 1 Up 2 Over 1 Step 1: Is the line SOLID or DASHED? Step 2: Graph like any other slope-intercept line Step 3: Substitute ( 0, 0 ) True? Shade TOWARDS the origin

Graph 1st,substitute (0,0) and SHADE!!! Down 3 Over 1 Down 3 Over 1 Step 1: Is the line SOLID or DASHED? Step 2: Graph like any other slope-intercept line Step 3: Substitute ( 0, 0 ) True? Shade AWAY from the origin

Section 9 Essential Question How do we graphically represent solution to systems of linear inequalities?

Homework Clicky

Graphing…Linear Inequality Rules! If you see If you see ≤ or ≥ Dashed Line Solid Line

Quadrants on the Coordinate Plane IV I II III

Graph the Solution Set x < 0 y > 0 Dashed vertical line where x values are zero Dashed horizontal line where y values are zero What quadrant is the answer?

Find all solutions on the graph!!! y < x + 1y ≤ -3x + 4

Find all solutions on the graph!!! 2x + 3y > 6 y ≤ 3

I have two POSITIVE numbers…X and Y The sum of the numbers is less than 8 The difference of those numbers is greater than 5 x > 0 and y > 0 x + y < 8 x – y > 5 Show all possible values graphically.

Miss Davis is planning refreshments for a party. She wants some fruit salad and some pasta salad. She decides to have at least 10 but no more than 15 pounds of salad. She wants to have at least four times as much fruit salad as pasta salad. f + p ≤ 15 f > 0 and p > 0 f + p ≥ 10 f ≥ 4p x + y ≤ 15 x > 0 and y > 0 x + y ≥ 10 x ≥ 4y x y

Homework HoffmaSheet 8 – 9