The numbers that will work are all numbers less than 12
The statement is given as:
One half of a number is more than six less than the same number
Let the number be represented with x
So, the mathematical expression is
1/2x > x - 6
Subtract x from both sides
-1/2x > -6
Multiply both sides by -2
x < 12
Hence, the numbers that will work are all numbers less than 12
Read more about inequality at:
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