Final answer:
The solution to the inequality [2 + 2w] - 4 > 6 simplifies to w > 4, which in set notation is w . The closest choice provided in the question is option A: w .
Step-by-step explanation:
To find the solution to the inequality [2 + 2w] - 4 > 6, we first simplify it by performing the operation inside the brackets and then subtracting 4:
- 2 + 2w - 4 > 6
- 2w - 2 > 6
- 2w > 8 (add 2 to both sides)
- w > 4 (divide both sides by 2)
In set notation, the solution to the inequality is w > 4. However, since this option is not available among the choices provided, it seems there might be a typo in your question. If we follow the options given, the correct inequality representation in set notation closest to our solution should be w > 3, making option A the closest choice.