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:
Step-by-step explanation:
1 - (1/4 + 2*1/4)
1 - 3/4
1/4 of the living room still remains unpainted.
Answer:
2. zeros
4. difference
22. 79,158.5
42. 0.0099
50. 4.37
Step-by-step explanation:
2. Only adding 0s after a decimal point does not change the value.
4. Since you are subtracting then you estimate difference.
22. Add each number using place value.
75285
2
3971
0.5
__________
79258.5
42. 0.01 is really 0.0100. If you subtract 0.0001 then it is like subtracting 100-1 = 99 but in the decimal place. So it becomes 0.0099.
50. Subtract by lining up decimal places. Then move place values to subtract.
9.00
- 4.63
----------------
4.37
