1. EXAMPLE 2
Graph linear inequalities with one variable
Graph (a) y < –3 and (b) x < 2 in a coordinate plane.
a. Graph the boundary line y = –3. Use a solid line because the inequality symbol is < .
Test the point (0,0). Because (0,0) is not a solution of the inequality, shade the half- plane that does not contain (0,0).

2. EXAMPLE 2
Graph linear inequalities with one variable
b. Graph the boundary line x = 2.Use a dashed line because the inequality symbol is < .
Test the point (0,0). Because (0,0) is a solution of the inequality, shade the half-plane that does not contains (0,0).

3. EXAMPLE 3
Graph linear inequalities with two variables
Graph (a) y > –2x and (b) 5x – 2y ≤ –4 in a coordinate plane.
a. Graph the boundary line y = –2x. Use a dashed line because the inequality symbol is >.
Test the point (1,1). Because (1,1) is a solution of the inequality, shade the half-plane that contains (1,1).

4. EXAMPLE 3
Graph linear inequalities with two variables
b. Graph the boundary line 5x –2y = –4.Use a solid line because the inequality symbol is < .
Test the point (0,0). Because (0,0) is not a solution of the inequality, shade the half-plane that does not contain (0,0).

5. Shade to the numbers greater than –1 Do not forget dotted line for
GUIDED PRATICE
You try!!!
Graph the inequality in a coordinate plane.
y > –1
Shade to the
numbers
greater than –1
Do not forget
dotted line for
> or < sign
y > –1

6. GUIDED PRACTICE
You try !!
Graph the inequality in a coordinate plane.
x > –4
x > –4
Shade to the right
because the numbers
are bigger to the
right and the
innequality is a
greater than or
equal to.

7. Already in slope- Intercept form so just use b=0 start at origin
GUIDED PRACTICE
You try !!!
Graph the inequality in a coordinate plane.
y > –3x
y > –3x
Already in slope-
Intercept form so just
use b=0 start at origin
slope is –3 down 3
over 1. Solid line.

8. GUIDED PRACTICE
Try this !!!
Graph the inequality in a coordinate plane.
y < 2x +3
Y-int. is 3 so start there
Then the slope is 2 so
up 2 over one.
Draw a dotted line because
Of the inequality symbol.
y < 2x +3

9. First slope intercept form:
GUIDED PRACTICE
Try this !!!
Graph the inequality in a coordinate plane.
x + 3y < 9
First slope intercept form:
x + 3y < 9
Now plot b=3 and use
the slope down 1 over 3

10. EXAMPLE 1
Standardized Test Practice
SOLUTION
Ordered pair
Substitute
Conclusion
(6, –3)
3(6) + 4(– 3) = 6 > 8
(6, –3) is not a solution
(0, 2)
3(0) + 4(2) = 8 > 8
(0, 2) is not a solution
(–2 , –1) is not a solution
(–2, –1)
3(–2) + 4(–1) = –10 > 8
(–3, 5)
3(–3) + 4(5) = 11 > 8
(–3, 5) is a solution

11. EXAMPLE 1
Standardized Test Practice
ANSWER
The correct answer is D.

12. GUIDED PRACTICE
for Example 1
Tell whether the given ordered pair is a solution of 5x – 2y ≤ 6.
Ordered pair
Conclusion
ANSWER
(0, –4)
(0, – 4 ) is not a solution
(2, 2 ) is a solution
(2, 2)
(–3, 8 ) is a solution
(–3, 8)
(–1, –7)
(– 1, – 7 ) is not a solution