Which conjunction or disjunction equivalent to the open sentence 4 –3|n + 2| ≥ 1?

Question

tkhunny · Answer

Why don't you first solve the equation and then compare your correct solution to the choices?

$4 - 3|n+2| \ge 1$

$- 3|n+2| \ge -3$

$ 3 \ge  3|n+2|$

$ 1 \ge  |n+2|$

Look at each step. EXACTLY what happened?

You're almost done!

anonymous · Answer

A.
n + 2 ≥ 1 and n + 2 ≤ –1
 
 B.
n + 2 ≤ 1 and n + 2 ≥ –1
 
 C.
n + 2 ≤ 1 and n − 2 ≥ −1
 
 D.
n + 2 ≥ 1 or n – 2 ≤ 1

tkhunny · Answer

Perfect.  Now, complete the solution and compare.

anonymous · Answer

im confused

tkhunny · Answer

It's time to get unconfused. Did you examine each step I provided? That's the first place to abandon your confusion.  Tell me what happened!

anonymous · Answer

the answer is C, but I don't understand how, can you plz explain?

tkhunny · Answer

You're just not going to do it, are you?

What happened in my first step?  What operation was performed?