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- Applying mathematical reasoning

Still Confused?

Try reviewing these fundamentals first.

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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.

7.

Applying mathematical reasoning

7.1

Express linear inequalities graphically and algebraically

7.2

Solving problems with rational numbers in decimal form

7.3

Solving problems with rational numbers in fraction form

7.4

Representing patterns in linear relations

7.5

Reading linear relation graphs

7.6

Solving linear systems by graphing

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