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 please help .

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

please help >.<

anonymous · Answer

i tried, but I'm like so confused.

misty1212 · Answer

suppose you changed it to $$4-3X=1$$ a totally different, but similar question
could you solve for $X$ ?

anonymous · Answer

yeah, that makes sense c:

misty1212 · Answer

i hope so, but the question is, can you solve that for $X$
if so, we can go from there

anonymous · Answer

it would be x = 1 , right?

misty1212 · Answer

yes it would!

misty1212 · Answer

now that is the question, but the method you used to get $X=1$ is the same method you would use to get at the answer
but since this is an inequality we have to be more careful

misty1212 · Answer

$$4-3|n+2|\geq 1\
-3|n+2|\geq -3$$and here comes the "be careful" part
when you divide by $-3$ you have to change the inequality

misty1212 · Answer

$$-3|n+2|\geq -3\
|n+2|\leq 1$$

misty1212 · Answer

now you can solve 
$$-1\leq n+2\leq 1$$ in one easy step by subtracting 2 all the way across

anonymous · Answer

okay, thank you again!

misty1212 · Answer

you are welcome again!

misty1212 · Answer

i see that they do not (for some unknown reason) want to to solve this, just two write it as a conjunction 
$$n+2\leq 1\text {  and  }   n +2\geq -1$$not sure why you are not asked to solve