1. The problem asks why asking the first 10 students on the register may not produce a good sample for Jamil's survey. 2. Reason 1: The sample is not random because it only includes the first 10 students on the register, which may not represent the entire class or school. 3. Reason 2: The sample size is small and limited to one class, so it may not reflect the diversity of homework habits across all students. 4. Next problem: Expand and simplify $(x + 4)(x + 8)$. 5. Use the distributive property (FOIL method): $$ (x + 4)(x + 8) = x \times x + x \times 8 + 4 \times x + 4 \times 8 $$ 6. Calculate each term: $$ x^2 + 8x + 4x + 32 $$ 7. Combine like terms: $$ x^2 + 12x + 32 $$ 8. Next problem: Solve the inequality $2 < 5x - 3 \leq 17$. 9. Add 3 to all parts: $$ 2 + 3 < 5x - 3 + 3 \leq 17 + 3 $$ $$ 5 < 5x \leq 20 $$ 10. Divide all parts by 5: $$ \frac{5}{5} < x \leq \frac{20}{5} $$ $$ 1 < x \leq 4 $$ Final answers: - Expanded expression: $x^2 + 12x + 32$ - Solution to inequality: $1 < x \leq 4$