1. x ≤ 4 x = 4 x = 4 Describe the unshaded region.
In the unshaded region is x greater than or less than 4?
The region is x less than or equals to 4.
x ≤ 4
less than
First, work out the equation of the line.
But as it’s a solid line, it also includes 4
x = 4

2. In the unshaded region is y greater than or less than 2?
Describe the unshaded region.
The region is y greater than 2.
y > 2
greater than
y = 2
and it’s a dotted line, so it does not include 2
First, work out the equation of the line.
y = 2

3. Describe the unshaded region.
y  –2
y = -2

4. Describe the unshaded region.
y = 1
y  1

5. Describe the unshaded region.
x = -5
Describe the unshaded region.
x < –5

6. y = 3 x < 4 and y  3 x = 4 x = 4 Describe the unshaded region.
The region is x less than 4.
x < 4 and y  3
and y less than or equals to 3.
x = 4

7. y = 3 y > –1 and y < 3 –1 < y < 3 y = –1
Describe the unshaded region.
y = 3
This inequality should be written as:
y = 3
The region is y less than 3.
y > –1 and y < 3
–1 < y < 3
and y greater than –1.
y = -1
y = –1

8. Describe the unshaded region.
x = -6
x = -1
Describe the unshaded region.
–6 < x  –1

9. Describe the unshaded region.
x = -2
Describe the unshaded region.
y = 3
x  –2 and y < 3

10. x + y  6 x + y = 6 Describe the unshaded region.
But is this region, less than or greater than?
What’s this line called?
(3,1)
x + y  6
x + y = 6 
x + y = 6
x + y = 6