linear inequalities part 2

Warm UpWarm UpSolve. 6x + 5 < 23 Solve. -17 > 5x – 2

Write the following as an inequality.

• All numbers greater than or equal to 0.

• Where do numbers end?

• Name this celebrity baby

Graphing Inequalities

Inequality Dot< and >≤ and ≥

There are three pieces to graphing:

1.Number Line

2.Dot

3.Shading

Graphing Inequalities

x < 2x < 2LineDotShade

Graphing Inequalities

x > -2x > -2LineDotShade

Graphing Inequalities

x ≤ 1x ≤ 1LineDotShade

Graphing Inequalities

x ≥ 0x ≥ 0LineDotShade

Graphing InequalitiesSolve, then graph.Solve, then graph.

x + 3 ≤ 2(x – 4)x + 3 ≤ 2(x – 4)

Graphing InequalitiesVideo

Graphing Inequalities

Inequality Dot Interval< and > Empty (≤ and ≥ Full [

Now that we know how to graph, we need to Now that we know how to graph, we need to learn how to write the answer as an interval.learn how to write the answer as an interval.

Graphing Inequalities

Here are the steps:• Solve• Graph• Change• Interval

-6 + 5x < 19

Graphing Inequalities

Here are the steps:• Solve• Graph• Change• Interval

x + 3 ≤ 2(x – 7)

Graphing Inequalities

Here are the steps:• Solve• Graph• Change• Interval

-x + 6 > -(2x + 4)