|–3n| – 2 = 4

Question

(1 point)
Responses

2 or –2
2 or –2

3 or –3
3 or –3

4 or –4
4 or –4

6 or –6
6 or –6

Answer 1

To solve the equation |–3n| – 2 = 4, we can isolate the absolute value term by adding 2 to both sides:

|–3n| = 6

Now, we can split the equation into two separate cases:

Case 1: –3n = 6
Solving for n in this case, we divide both sides by -3 and get:
n = -2

Case 2: –3n = -6
Solving for n in this case, we divide both sides by -3 but remember that dividing by a negative number reverses the inequality, so we get:
n = 2

Therefore, the solution to the equation |–3n| – 2 = 4 is n = -2 or n = 2.