# Express linear inequalities graphically and algebraically

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##### Intros
###### Lessons
1. i) What is an inequality?
ii) How to solve linear inequalities?
iii) How to graph inequalities on a number line?
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##### Examples
###### Lessons
1. Express the following inequalities algebraically.

2. Graph each inequality on a number line.
1. $3.6$ > $x$
2. $x \le - 3\frac{4}{7}$
3. $y \le 11$
4. $5$ < $- \frac{1}{6}$x
3. Find the possible values of $x$ on a number line.
1. $x \ge 6$ and $x \le 11$
2. $x$ > $2\frac{3}{7}$ and $x \le 5$
3. $x \ge - 3.6$ and $x \le 0.25$
4. $x$ > $-7$ 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.
1. Use a number line to express the situation.
2. Express the situation in a statement.
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##### Practice
###### Topic Notes
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.