Question

solve the inequality for y.
\\(\frac{y}{4} - 11 < 17\\)
simplify your answer as much as possible.

Explanation:

Step1: Add 11 to both sides

To isolate the term with \( y \), we add 11 to both sides of the inequality. This gives us \(\frac{y}{4}-11 + 11<17 + 11\), which simplifies to \(\frac{y}{4}<28\).

Step2: Multiply both sides by 4

To solve for \( y \), we multiply both sides of the inequality \(\frac{y}{4}<28\) by 4. This gives us \(\frac{y}{4}\times4<28\times4\), which simplifies to \(y < 112\).

Answer:

\(y < 112\)