Linear Inequalities Part 2
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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)