Solve the inequality n/2 + 2 > 4

Check the final answer first, then review the worked steps.

Problem

Solve the inequality n/2 + 2 > 4

Answer

\(n > 4\)

Step-by-step solution

1. Isolate the term with n: To begin, we want to get the term $\frac{n}{2}$ by itself on one side of the inequality. We can do this by subtracting 2 from both sides of the inequality.
$$ \frac{n}{2} + 2 - 2 > 4 - 2 $$
$$ \frac{n}{2} > 2 $$

2. Solve for n: Now that we have $\frac{n}{2}$ isolated, we can solve for $n$ by multiplying both sides of the inequality by 2.
$$ \frac{n}{2} \times 2 > 2 \times 2 $$
$$ n > 4 $$

The solution to the inequality is $n > 4$.