Question

solve the inequality for x.
\\(\frac{x}{3} + 10 > 27\\)
simplify your answer as much as possible.

Explanation:

Step1: Subtract 10 from both sides

To isolate the term with \( x \), we subtract 10 from both sides of the inequality \(\frac{x}{3}+10 > 27\). This gives us \(\frac{x}{3}+10 - 10>27 - 10\), which simplifies to \(\frac{x}{3}>17\).

Step2: Multiply both sides by 3

To solve for \( x \), we multiply both sides of the inequality \(\frac{x}{3}>17\) by 3. This gives us \(\frac{x}{3}\times3>17\times3\), which simplifies to \(x > 51\).

Answer:

\(x > 51\)