Which of the following is not a solution for the value of the variable m in the inequality below?

12m - 8 > 52

5
7
9
11

The answer is: 5 .

Explanation: The solution is:  m > 5 . 

GIven the answer choices, m would not EQUAL "5", since m is GREATER THAN 5;  or, "m  > 5 ". 

All the other answer choices: 7; 9, and 11, are all greater than 5; so they all could be solutions. The question asked which would NOT be solution for the value of "m".  The answer choice given, "5", would not be a solution.

How do we get:  " m > 5 " ??

We solve for "m"; or simplify; as follows:
 
Given: 12m − 8 > 52 ; Let us simplify to solve for "m"; 

 → Add "8" to both sides; 

 → 12m − 8 + 8 > 52 + 8 ; 

 → to get:  12m > 60 ;  → Now, divide EACH side of the inequality by "12"; to isolate "m" on one side of the equation; and solve for "m" ; 

 → 12m / 12 > 60 / 12 ; 

 → m > 5 ;