Question

$$3+ \frac{ 2y-13 }{ 11 > 2 }$$

Answer

y>1

Solution


Subtract \(3\) from both sides.
\[\frac{2y-13}{11}>2-3\]
Simplify  \(2-3\)  to  \(-1\).
\[\frac{2y-13}{11}>-1\]
Multiply both sides by \(11\).
\[2y-13>-1\times 11\]
Simplify  \(1\times 11\)  to  \(11\).
\[2y-13>-11\]
Add \(13\) to both sides.
\[2y>-11+13\]
Simplify  \(-11+13\)  to  \(2\).
\[2y>2\]
Divide both sides by \(2\).
\[y>1\]