Determine a minimum score for the player to reach.
Setting the points per enemy higher than 60 and the completion bonus lower than 100, write an inequality to determine the number of enemies that can be defeated to clear the level.
What is the solution set to this inequality?
Graph the solution set to the inequality on a number line.
Let x be the number of enemies defeated.
Given that the points per enemy is greater than 60 and the completion bonus is less than 100, let's represent this as:
60x + 100 < Minimum Score
In order to clear the level, the player must reach or exceed the minimum score needed. Therefore, the inequality is:
60x + 100 ≥ Minimum Score
Now, let's assume the minimum score needed is 500. Substituting this into the inequality, we have:
60x + 100 ≥ 500
60x ≥ 400
x ≥ 400/60
x ≥ 20
The solution set to this inequality is x ≥ 20, meaning the player must defeat at least 20 enemies to clear the level.
Graphing this solution set on a number line:
0-------------------20------------------------>Enemies defeated
[----------------------)