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Express linear inequalities graphically and algebraically
- Intro Lesson8:16
- Lesson: 1a0:59
- Lesson: 1b0:47
- Lesson: 1c0:55
- Lesson: 2a1:50
- Lesson: 2b1:05
- Lesson: 2c1:06
- Lesson: 2d2:29
- Lesson: 3a1:23
- Lesson: 3b1:18
- Lesson: 3c1:13
- Lesson: 3d1:13
- Lesson: 4a1:13
- Lesson: 4b0:40
Express linear inequalities graphically and algebraically
Linear inequalities can be represented both graphically and algebraically. In this lesson, we will learn how to express linear inequalities as an equation and on a number line.
Related Concepts: Graphing linear inequalities in two variables, Graphing systems of linear inequalities, Graphing quadratic inequalities in two variables, Graphing systems of quadratic inequalities
Lessons
- Introductioni) What is an inequality?
ii) How to solve linear inequalities?
iii) How to graph inequalities on a number line? - 1.Express the following inequalities algebraically.a)
b)
c)
- 2.Graph each inequality on a number line.a)3.6 > xb)x≤−374c)y≤11d)5 < −61x
- 3.Find the possible values of x on a number line.a)x≥6 and x≤11b)x > 273 and x≤5c)x≥−3.6 and x≤0.25d)x > −7 and x≤−321
- 4.A Christmas tree must be 2 feet or taller so that the farmers will cut it down and sell it in the market.a)Use a number line to express the situation.b)Express the situation in a statement.
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13.
Inequalities
13.1
Express linear inequalities graphically and algebraically
13.2
Solving one-step linear inequalities
13.3
Solving multi-step linear inequalities
13.4
Compound inequalities
13.5
Solving absolute value inequalities
13.6
Graphing linear inequalities in two variables
13.7
Graphing simultaneous inequalities
13.8
Solving quadratic inequalities in one variable