Answer:
Let x be the number of lawns Katelyn needs to mow to have enough money to buy the skateboard.
She currently has $25.00 saved, and each lawn she mows earns her $20.00. So the total amount of money she will have is:
25 + 20x
In order to have enough money to buy the skateboard, this amount must be greater than or equal to $75.00.
So the inequality is:
25 + 20x ≥ 75
Simplifying the inequality, we get:
20x ≥ 50
x ≥ 2.5
Since Katelyn cannot mow a fractional part of a lawn, she must mow at least 3 lawns to have enough money to buy the skateboard.
Therefore, the inequality that can be used to determine the number of lawns Katelyn needs to mow is x ≥ 3.