Question

solve the following inequality: (\frac{a}{7}+5>5)

Explanation:

Step1: Subtract 5 from both sides

To isolate the term with \(a\), we subtract 5 from both sides of the inequality \(\frac{a}{7}+5 > 5\). This gives us \(\frac{a}{7}+5 - 5>5 - 5\), which simplifies to \(\frac{a}{7}>0\).

Step2: Multiply both sides by 7

To solve for \(a\), we multiply both sides of the inequality \(\frac{a}{7}>0\) by 7. Since 7 is a positive number, the direction of the inequality sign remains the same. So we have \(\frac{a}{7}\times7>0\times7\), which simplifies to \(a > 0\).

Answer:

\(a > 0\)