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

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

Question

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

anonymous · Answer

4 –3|n + 2| ≥ 1, have you tried isolating |n+2| ?

anonymous · Answer

no

anonymous · Answer

you should obtain |n + 2| <= 1.  then you can rewrite as -1 <= n + 2 <= 1 or -3 <= n <= -1.  does this help you choose an answer ?

anonymous · Answer

not really