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kondaur [170]
3 years ago
8

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

Mathematics
1 answer:
Solnce55 [7]3 years ago
4 0
The answer is: 5 .
_____________________
Explanation: The solution is:  m <span>> 5 . 
___________________________
GIven the answer choices, m would not EQUAL "5", since m is GREATER THAN 5;  or, "m </span> > 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 <span>> 52 ; Let us simplify to solve for "m"; 
</span>__________________________
 → 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 <span>> 60 / 12 ; 
_______________________________________________
 </span>→ m > 5 ;
_________________________________________________________
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