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:
250
Step-by-step explanation:
150/3=50
50*2=100
150+100=250
Answer:
E
Step-by-step explanation:
19) Amount of oil in = amount of oil in final product
.025(x) + .09(40-x) = .055(40) (x = 2.5% amt 40 - x = 9% amt)
x = 21.54 L of 2.5 % then 9% = 18.46 L
Answer:
X=27
Step-by-step explanation:
so x=27
