Answer:
The inequality representing how many hours he should work in order to reach his goal would be

where
represents the number of hours Sean works.
Step-by-step explanation:
Hourly earnings of Sean from after school job = $6.70
Let Sean work for
hours in order to earn at least $155.
We will use unitary method to find earning for
hours.
If 1 hour earnings = $6.70
∴ in
hours earnings in dollars would be = 
Now, we know Sean needs at least $155 to buy a new video game.
This means his earnings working
hours must be at least $155.
Thus, the inequality representing how many hours he should work in order to reach his goal would be

Dividing both sides by 6.7.

(Answer)
Thus, Sean should work a minimum of 23.14 hours to earn at least $155.