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
You can add 4/9.
A simple trick is to look at the numerator and denominator separately, if they're both perfect squares then you're good (4, 2^2, check. 9, 3^2, check.)
Since giving you the exact answer wouldn't help you learn anything, read this:
to find average get all of the values (98,111,106) and add them up. then do the sum of 98+111+106 divided by total number if values (3)
1 liter is equal to 1000 milliliters, so we can multiply 200 liters by 1000 to get 200000 milliliters, which should be your answer. In general, the "milli-" prefix denotes a factor of one thousand times smaller, so 1 meter is equal to 1000 millimeters, 1 second is equal to 1000 milliseconds, and so on.
