Question

solve for k.
\\(\frac{k}{2} - 1 < 4\\)

Explanation:

Step1: Add 1 to both sides

To isolate the term with \( k \), we add 1 to both sides of the inequality \(\frac{k}{2}-1 < 4\).
\[
\frac{k}{2}-1 + 1<4 + 1
\]
Simplifying both sides, we get \(\frac{k}{2}<5\).

Step2: Multiply both sides by 2

To solve for \( k \), we multiply both sides of the inequality \(\frac{k}{2}<5\) by 2.
\[
\frac{k}{2}\times2<5\times2
\]
Simplifying both sides, we get \(k < 10\).

Answer:

\(k < 10\)