Answered

What is the​ solution? Select the correct choice below​ and, if​ necessary, fill in the answer box to complete your choice.
A.
The solution set is StartSet nothing EndSetenter your response here.
B.
The solution set is StartSet x font size decreased by 3 | font size decreased by 3 x is a real number EndSet{x | x is a real number}.
C.
The solution set is empty set∅.

What is the solution Select the correct choice below and if necessary fill in the answer box to complete your choice A The solution set is StartSet nothing EndS class=


Answer :

reinhard10158

Step-by-step explanation:

let's simply try and solve this, and see where we end up.

x/2 = x/3 - 12

just by looking at it : we are comparing seemingly something larger (x/2) with something smaller (x/3), and we subtract even something more from the smaller number (- 12).

this looks therefore like a negative solution.

let's try to get rid of the fractions.

first we multiply everything by 2 :

x = 2x/3 - 24

then we multiply everything by 3 :

3x = 2x - 72

x = -72

aha ! we were right.

so, the solution set is {-72}.

and yes, by the way, this is a real number. but the solution contains only one number. so, the answer option with general x as all real numbers is wrong.