Answer: False, it's not a solution
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Step-by-step explanation:
Replace every copy of c with 12. Then simplify.
4c - 2 > 46
4*12 - 2 > 46
48 - 2 > 46
46 > 46 ... false
The statement is false because there isn't a number that's larger than itself (or smaller than itself).
Since the last statement is false, this means the first inequality is false when c = 12.
Therefore, c = 12 is not a solution.
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Another approach:
Let's isolate c in the original inequality.
4c - 2 > 46
4c > 46+2
4c > 48
c > 48/4
c > 12
The solution set consists of numbers larger than 12. We leave 12 itself out of the solution set.
This is because c > 12 would be 12 > 12 which is false.