Question

solve the following inequality: \\(\frac{a}{8} < 11\\)

Explanation:

Step1: Multiply both sides by 8

To solve the inequality \(\frac{a}{8} < 11\), we multiply both sides by 8 to isolate \(a\). Multiplying both sides of an inequality by a positive number does not change the direction of the inequality sign. So we have:
\(8\times\frac{a}{8} < 11\times8\)

Step2: Simplify both sides

Simplifying the left - hand side, \(8\times\frac{a}{8}=a\). Simplifying the right - hand side, \(11\times8 = 88\). So we get \(a < 88\).

Answer:

\(a < 88\)