Verified answer

The absolute value of 5x + 1 can be either positive or negative, but 5x+1 can be either positive or negative, and you have to take both cases into consideration.

|5x+1| ≥ 3

Case 1: 5x+1 > 0

5x + 1 ≥ 3

5x ≥ 2

x ≥ 2/5

Case 2: 5x + 1 < 0

-(5x+1) ≥ 3

5x+1 ≤ -3

5x ≤ -4

x ≤ -4/5

Any value of x that is less than or equal to -4/5 (x ≤ -4/5) or that is greater than or equal to 2/5 (x ≥ 2/5) will satisfy the inequality. [C] is the correct choice.

Alright, A, you divide, so grab a calculator (Divide -4 by 5 and 2 by 5, then just substitute them into the equation, you don't need to do anything else)

B, It's the exact same thing...Except it's less than instead of less than or equal to

C, Still the same thing.

Y'see, in my algebra class, we leave the answers as fractions, but I dont know if that's what you guys do...

I hope I helped!

Recall the defintion of |x| for a clue. If you have forgotten, ref to your text book.