Which of the following options expresses the solution set notation for the inequality [2+2w]-4>6? A) w B) w C) w ≥ 3 D) w ≤ 3

Question

Which of the following options expresses the solution set notation for the inequality [2+2w]-4>6?

A) w > 3
B) w < 3
C) w ≥ 3
D) w ≤ 3

Answer 1

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.