Final answer:
To solve the system of inequalities 3x - 91 > -87 and 17x - 16 > 18, isolate x in each inequality. The solution to the system of inequalities is the set of x values greater than 2.
Step-by-step explanation:
To solve the system of inequalities 3x - 91 > -87 and 17x - 16 > 18, we need to find the set of x values that satisfy both inequalities.
For the first inequality 3x - 91 > -87:
1. Add 91 to both sides: 3x > 4.
2. Divide both sides by 3: x > 4/3.
For the second inequality 17x - 16 > 18:
1. Add 16 to both sides: 17x > 34.
2. Divide both sides by 17: x > 2.
Comparing the two results, since x must be greater than both 4/3 and 2, the solution to the system is x > 2.