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:
B. The absolute value parent function
Step-by-step explanation:

Referred to as absolute value, the value inside the bars is measured in terms of its distance from 0. Therefore:

In essence, a negative value within the bars becomes positive, while a positive value remains positive.
If Y is 8, we solve by subtracting 8 on both sides,
0 = 6x
Divide by 6,
0 = x
x is equal to 0
Answer:
The answer to your question is the third option
Step-by-step explanation:
To know if two lines are parallel we must get their slopes if the slopes are equal, the lines are parallel.
Data
A (2,2)
B (3,6)
C(0,5)
D(1,9)
Formula
slope = 
Process
1.- Calculate the slope of line 1
slope 1 = 
slope 1 = 
slope 1 = 4
2.- Calculate slope 2
slope 2 = 
slope 2 = 
slope 2 = 4
3.- Compare the slope
slope 1 = 4 and slope 2 = 4, both slope are equals, then the lines are parallel.
the factor for this expression is 7