Question

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

Answer 1

The answer is: 5 .
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Explanation: The solution is:  m > 5 . 
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GIven the answer choices, m would not EQUAL "5", since m is GREATER THAN 5;  or, "m  > 5 ". 
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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.
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How do we get:  " m > 5 " ??
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We solve for "m"; or simplify; as follows:
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Given: 12m − 8 > 52 ; Let us simplify to solve for "m"; 
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 → Add "8" to both sides; 
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 → 12m − 8 + 8 > 52 + 8 ; 
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 → 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" ; 
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 → 12m / 12 > 60 / 12 ; 
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 → m > 5 ;
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