The solution to the inequality is: n < -9.
Given the inequality statement, 4n - 6 (n + 1) > 12, to solve for the value of n, we would isolate the n to one side of the inequality as shown below:
4n - 6 (n + 1) > 12
Distribute
4n - 6n - 6 > 12
Combine like terms
-2n - 6 > 12
-2n - 6 + 6 > 12 + 6
-2n > 18
Divide both sides by -2
-2n/-2 < 18/-2
n < -9
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