Answer: x = 2
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Step-by-step explanation:
Let's isolate x.
2x+1 > 11
2x > 11-1
2x > 10
x > 10/2
x > 5
The inequality sign doesn't flip. It only flips if we multiplied or divided both sides by a negative number.
The solution set consists of values larger than 5. If x was an integer, then the roster set of solutions would be {6, 7, 8, 9, 10, 11, ...}
A non-solution is anything not in that set. If x is an integer, then a non-solution lives in the set {..., -3, -2, -1, 0, 1, 2, 3, 4, 5}.
Pick one of those values to write the final answer. I'll go with the value 2.
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Check:
2x+1 > 11
2*2 + 1 > 11 ... replace x with 2
4 + 1 > 11
5 > 11
We arrive at a false statement to show that x = 2 is a non-solution.