# Graphing linear inequalities in two variables

### Graphing linear inequalities in two variables

In this lesson, we will talk about how to solve linear inequalities as well as how to graph the solutions on number lines and the xy plane.

#### Lessons

• 1.
Introduction to Inequalities
a)
Graph the solution on a number line:
$x = 3$
$x \ge 3$
$x$ > $3$
$x \le 3$
$x$ < $3$

b)
Graph the solution on the xy-plane:
$x = 3$
$x \ge 3$
$x$ > $3$
$x \le 3$
$x$ < $3$

c)
Graph the solution on the xy-plane:
$y = -2$
$y \ge -2$
$y$ > $-2$
$y \le -2$
$y$ < $-2$

• 2.
Graphing Linear Inequalities in Two Variables
Graph:
i)
$y = x - 1$
ii)
$y \ge x - 1$
iii)
$y$ < $x - 1$

• 3.
Graphing Linear Inequalities in Two Variables
Graph:
i)
$6x + 5y = 15$
ii)
$6x + 5y \ge 15$
iii)
$6x$ $+ 5y$ < $15$

• 4.
Graph the solution on a number line:
a)
$x = 3$

b)
$x \ge 3$

c)
$x$ $> 3$

d)
$x \le 3$

e)
$x$ $< 3$

• 5.
Graph the solution on the xy-plane:
a)
$x = 3$

b)
$x \ge 3$

c)
$x$ $> 3$

d)
$x \le 3$

e)
$x$ $< 3$

• 6.
Graph the solution on the xy-plane:
a)
$y = - 2$

b)
$y \ge - 2$

c)
$y$ $> - 2$

d)
$y \le - 2$

e)
$y$ $< - 2$