Correct option is A) The student is completely correct because the student correctly wrote and solved the compound inequality.
<u>Step-by-step explanation:</u>
Here we have , A student found the solution below for the given inequality.
1x-91<-4
x-9>4 and x-9 <-4
x> 13 and x<5
We need to find Which of the following explains whether the student is correct . Let's find :
We will be solving equation 1x-91<-4 or , 
. We know that for Modulus function , value inside modulus function is both positive & negative depending on particular value of x ! So ,
x-9 is positive :
Let's solve
⇒ 
⇒ 
⇒ 
x-9 is negative:
Let's solve
⇒ 
⇒ 
⇒ 
⇒ 
Therefore , Correct option is A) The student is completely correct because the student correctly wrote and solved the compound inequality.
Answer:
20 possible arrangements
Step-by-step explanation:
A: Alice
B: Bob
C: Cindy
X: other student
All the possible arrangements are:
When Bob is in the first place
B A C X X
B A X C X
B A X X C
B X A C X
B X A X C
B X X A C
6 possible arrangements
When Bob is in the second place (notice that neither Alice nor Cindy can be before Bob)
X B A C X
X B A X C
X B X A C
3 possible arrangements
When Bob is in the third place
X X B A C
Only 1 possible arrangement.
Total arrangements when Bob is before Cindy: 10
If Cindy is before Bob the same situations are repeated, given another 10 arrangements. So, the total line up in which Alice is somewhere between Bob and Cindy are 20.
7 is “what was our opinion of the experiment and results?”
8 is “random”
