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Solve the System of Inequalities 3x-91>-87 and 17x-16>18

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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.

User Matt Fichman
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