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- Linear Inequalities

Still Confused?

Try reviewing these fundamentals first.

Still Confused?

Try reviewing these fundamentals first.

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Get Started Now- 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

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,

- 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)$3.6$ > $x$b)$x \le - 3\frac{4}{7}$c)$y \le 11$d)$5$ < $- \frac{1}{6}$x
- 3.Find the possible values of $x$ on a number line.a)$x \ge 6$ and $x \le 11$b)$x$ > $2\frac{3}{7}$ and $x \le 5$c)$x \ge - 3.6$ and $x \le 0.25$d)$x$ > $-7$ and $x \le - 3\frac{1}{2}$
- 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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