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Which of the following inequalities symbolizes Hamilton's situation?

A. \(6x + 82 > 90\)
B. \(6x + 82 < 90\)
C. \(2x + 82 < 90\)
D. \(2x + 82 > 90\)

Answer :

Final answer:

The inequality that symbolizes Hamilton's situation is 2x + 82 > 90. The solution is x > 4.

Explanation:

The symbol that represents Hamilton's situation is inequality D. 2x + 82 > 90.

To solve this inequality, we need to isolate x on one side of the inequality sign.

First, subtract 82 from both sides: 2x > 90 - 82 = 8.

Then, divide both sides by 2: x > 4.

So the solution to the inequality is x > 4.

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