Final answer:
The solution to the inequality [2 + 2w] - 4 > 6 is w > 4, expressed in set notation as w > 4.
Step-by-step explanation:
To solve the inequality [2 + 2w] - 4 > 6, we need to isolate the variable w. First, we can start by adding 4 to both sides of the inequality to get [2 + 2w] > 10.
Next, we can subtract 2 from both sides to get 2w > 8. Finally, we divide both sides by 2 to get w > 4.
So, the solution to the inequality is w > 4.
In set notation, we can express the solution as w .