Answer:
-9
Step-by-step explanation:
Given
See attachment for number line
Required
What does the arrow integer
Represent the value of the arrow with x.
The arrow is on number -9.
This number is what the arrow represents.
Hence:

7x + 6 < 3(x - 2)
7x + 6 < 3x - 6
7x - 3x < -6 - 6
4x < -12
x < -12/4
x < -3
<span>{x | x < -3}</span>