Question

solve the inequality \\(\frac{1}{3}\left(x - 6\
ight) > 2\\).
\\(x > \square\\)

Explanation:

Step1: Multiply both sides by 3

To eliminate the fraction, we multiply both sides of the inequality \(\frac{1}{3}(x - 6) > 2\) by 3. This gives us \(3\times\frac{1}{3}(x - 6) > 2\times3\), which simplifies to \(x - 6 > 6\).

Step2: Add 6 to both sides

To solve for \(x\), we add 6 to both sides of the inequality \(x - 6 > 6\). So, \(x - 6 + 6 > 6 + 6\), which simplifies to \(x > 12\).

Answer:

12