Question

solve the inequality for v.
26 > \\(\frac{v}{5}\\) + 16
simplify your answer as much as possible.

Explanation:

Step1: Subtract 16 from both sides

To isolate the term with \( v \), we subtract 16 from both sides of the inequality \( 26>\frac{v}{5}+16 \). This gives us \( 26 - 16>\frac{v}{5}+16 - 16 \), which simplifies to \( 10>\frac{v}{5} \).

Step2: Multiply both sides by 5

To solve for \( v \), we multiply both sides of the inequality \( 10>\frac{v}{5} \) by 5. This gives us \( 10\times5>\frac{v}{5}\times5 \), which simplifies to \( 50 > v \) or \( v < 50 \).

Answer:

\( v < 50 \)