8) 3 - 2(n - 4) > -1

Explanation:

Step1: Expand the expression

$3-2(n - 4)=3-2n + 8=11-2n$. So the inequality becomes $11-2n>-1$.

Step2: Isolate the variable - term

Subtract 11 from both sides: $11-2n-11>-1 - 11$, which simplifies to $-2n>-12$.

Step3: Solve for n

Divide both sides by - 2. When dividing an inequality by a negative number, the direction of the inequality sign changes. So $\frac{-2n}{-2}<\frac{-12}{-2}$, resulting in $n < 6$.

Answer:

$n < 6$