Warmup Find the intersection between -3x + 4y = 15 2y + 5x = -12.

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Presentation transcript:

Warmup Find the intersection between -3x + 4y = 15 2y + 5x = -12

3-2 Systems of Linear Inequalities Keeping everyone satisfied!

Solving a system of inequalities means finding the ordered pairs that satisfy all of the inequalities of the system at the same time. Graphically, where you have intersecting shaded regions.

Solve the system of inequalities by graphing. y > -2x + 4 y ≤ -3x – 3

Solve the system of inequalities by graphing.

4. The most Kala can spend on hot dogs and buns for her cookout is $35 4. The most Kala can spend on hot dogs and buns for her cookout is $35. A package of 10 hotdogs costs $3.50. A package of buns costs $2.50 and contains 8 buns. She needs to buy at least 40 hot dogs and 40 buns. a) Graph the region that shows how many packages of each item she can purchase. b) Give an example of three different purchases she can make.

Find the coordinates of the vertices of the triangle formed by each system of inequalities.