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:

\( a > 0 \)