Do Now Draw the graph of: 2x – 4y > 12. Solving a system of Inequalities Consider the system x + y ≥ -1 -2x + y < 2 3 1 2 13 2 -2-3.

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Presentation transcript:

Do Now Draw the graph of: 2x – 4y > 12

Solving a system of Inequalities Consider the system x + y ≥ -1 -2x + y <

Solving a system of Inequalities Consider the system x + y ≥ -1 -2x + y < Graph Greater Than Shade Above!! y ≥ - x - 1

Solving a system of Inequalities Consider the system x + y ≥ -1 -2x + y < Graph Less Than Shade Below!! y < 2x + 2

x + y ≥ -1-2x + y < 2

Solving a system of Inequalities Consider the system x + y ≥ -1 -2x + y < SOLUTION: Lies where the two shaded regions intersect each other.

Solving Systems of Inequalities 1)Graph both inequalities on the same graph. 2)Find the area where the two shaded regions overlap. 3)Mark the solution with an S.

Solving a system of Inequalities Consider the system -2x + 3y < -6 5x + 4y < Graph y < x

Solving a system of Inequalities Consider the system -2x + 3y < -6 5x + 4y < Graph y = - x (0,0) 

Solving a system of Inequalities Consider the system -2x + 3y < -6 5x + 4y < Graph (0,0)  SOLUTION: Lies where the two shaded regions intersect each other.

Solving a system of Inequalities Consider the system -2x + 3y < -6 5x + 4y < Graph (0,0)  NOTE: All order pairs in dark region are true in both inequalities.

Solving a system of Inequalities Consider the system x - 4y ≤ 12 4y + x ≤ 12 (0,0) Graph

Solving a system of Inequalities Consider the system x - 4y ≤ 12 4y + x ≤ 12 (0,0) Graph

Let’s Try… 2)y + x ≥ 4 y ≤ 2x – 3

Let’s Try… 4)y ≤ 5 x – y > 3

Let’s Try… 3)y + 3x ≥ 6 y < 2x – 4