Final answer:
To find the solution set notation for the inequality [2+2w]-4>6, the inequality is simplified and solved. The correct solution set notation is A) w after the operations and simplification are correctly performed.
Step-by-step explanation:
The question asks to find the solution set notation for the inequality [2+2w]-4>6.
First, we simplify the inequality by carrying out the operations inside the brackets and subtracting 4:
2 + 2w - 4 > 6
Which simplifies to:
2w - 2 > 6
Next, we add 2 to both sides to isolate the term with the variable w:
2w > 8
Finally, we divide both sides by 2 to solve for w:
w > 4
Therefore, the correct option expressing the solution set notation for the given inequality is A) w , noticing that the inequality was simplified incorrectly in the student's final step.