+9466 \(\frac{m}{3}+\frac14>\frac{3m}{8}\)
Multiply both sides of the inequality by 24 .
\(24(\frac{m}{3}+\frac14)>24(\frac{3m}{8})\)
Distribute the 24 to the terms in parenthesees.
\(\frac{24m}{3}+\frac{24}4>\frac{(24)(3)m}{8}\)
Simplify each fraction.
\(8m+6>9m\)
Subtract 8m from both sides of the inequality.
\(6>9m-8m\\~\\ 6>m\\~\\ m<6\)
+9466 \(\frac{m}{3}+\frac14>\frac{3m}{8}\)
Multiply both sides of the inequality by 24 .
\(24(\frac{m}{3}+\frac14)>24(\frac{3m}{8})\)
Distribute the 24 to the terms in parenthesees.
\(\frac{24m}{3}+\frac{24}4>\frac{(24)(3)m}{8}\)
Simplify each fraction.
\(8m+6>9m\)
Subtract 8m from both sides of the inequality.
\(6>9m-8m\\~\\ 6>m\\~\\ m<6\)
