Given Inequality:
\( 7 \le \frac{3x + 11}{2} \le 11 \)
Step 1: Multiply all parts by 2
\( 14 \le 3x + 11 \le 22 \)
Step 2: Subtract 11 from all parts
\( 3 \le 3x \le 11 \)
Step 3: Divide all parts by 3
\( 1 \le x \le \frac{11}{3} \)
Graphical Representation on Number Line:
Closed circles at 1 and 11/3,
with the region between them shaded.
Final Answer:
The solution set is
{ x ∣ 1 ≤ x ≤ 11/3 }