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.