We know that
• He practices 12 hours per week at least.
,• Each session lasts three-fourths of an hour.
,• He already practiced 3 hours this week. (There are 9 hours left)
Based on the given information, we can express the following
[tex]3+\frac{3}{4}x\ge12[/tex]Where x represents the number of sessions he must complete.
Let's solve for x
[tex]\begin{gathered} \frac{3}{4}x\ge12-3 \\ \frac{3}{4}x\ge9 \\ x\ge\frac{9\cdot4}{3} \\ x\ge\frac{36}{3} \\ x\ge12 \end{gathered}[/tex]