3-3 Systems of Inequalities Objectives:1. To solve systems of linear inequalities.

Solving a system of inequalities by graphing.

1) Graph each inequality.2) Shade the correct area.3) The overlapping shaded area is

the solution to the system.

Example 1: Solve the system of inequalities.a)

Example 2: Emily spends at most 150 minutes a night on math & science homework. She spends at least 60 minutes on math. Write & solve a system of inequalities to model how she allots her time for these two subjects.

You try…a) b)

Example 2: Solve each system of inequalities.

a)

Example 2: Solve each system of inequalities.

b)

Trivia…1. This is an animal that looks anything but dangerous. There are over 200 varieties that measure anywhere one inch to six feet in diameter, and every one of the species has the capability of poisoning their victims through the use of nematocysts. It's a slow-moving creature and looks fragile, and its appearance fools many into thinking that even the small ones are harmless

Jelly Fish

2. This is animal is known as “the river horse.” They are mostly found in Africa, this behemoth owns a reputation as being a ruthless killer. It can reach a weight of several thousand pounds with the average adult male measuring 11-17 feet in length.

Hippo

3. I was rather surprised to see this creature in the #1 position, yet, it's involved in over 5 million deaths a year, with estimates going as high as 50 million+! I’ll give you a tiny clue…

Mosquito

Example 2: Solve each system of inequalities.

c)

Example 3: Solve each system of inequalities.

a)

Example 3: Solve each system of inequalities.

b)

Practice

P 136 – 137: 12, 24, 28, 44

Homework:P 136 – 137: 9, 11, 15, 17, 19,

23, 27, 29, 43, 45, 47