Answer:
You could just replace all the given possible values of k in the inequality and see which ones are solutions, but let's solve this in a more interesting way:
First, remember how the absolute value works:
IxI = x if x ≥ 0
IxI = -x if x ≤ 0
Then if we have something like:
IxI < B
We can rewrite this as
-B < x < B
Now let's answer the question, here we have the inequality:
I-k -2I < 18
Then we can rewrite this as:
-18 < (-k - 2) < 18
Now let's isolate k:
first, we can add 2 in the 3 parts of the inequality:
-18 + 2 < -k - 2 + 2 < 18 + 2
-16 < -k < 20
Now we can multiply all sides by -1, remember that this also changes the direction of the signs, then:
-1*-16 > -1*-k > -1*20
16 > k > -20
Then k can be any value between these two limits.
So the correct options (from the given ones) are:
k = -16
k = -8
k = 0
Answer:
D
Step-by-step explanation:
You started at level ground and then went deeper which represents the negatives. After you stick a five foot pole in there it sticks up 2 feet.
Answer:

Step-by-step explanation:
The area of a rectangle will always be length times width or width times length, doesn't matter which way.
In this case, the width is
miles and the length is
miles. So, the area is
.
So, the area is
and we're done.
Answer:
Step-by-step explanation:
246(.03)= 7.38
246+7.38= $253.38