1. **State the problem:** Mustafa, Heloise, and Gia have written more than 22 articles combined. Heloise wrote \(\frac{1}{4}\) as many as Mustafa, and Gia wrote \(\frac{3}{2}\) as many as Mustafa. We need to find an inequality for the number of articles Mustafa wrote, \(m\), and solve it. 2. **Write the inequality:** Let Mustafa's articles be \(m\). Heloise's articles: \(\frac{1}{4}m\) Gia's articles: \(\frac{3}{2}m\) Total articles: \(m + \frac{1}{4}m + \frac{3}{2}m > 22\) 3. **Combine like terms:** \[m + \frac{1}{4}m + \frac{3}{2}m = m + 0.25m + 1.5m = 2.75m\] So the inequality is: \[2.75m > 22\] 4. **Solve for \(m\):** Divide both sides by 2.75: \[m > \frac{22}{2.75} = 8\] 5. **Interpret the solution:** Mustafa must have written more than 8 articles. **Answer:** \(m > 8\), which corresponds to choice C.