1. The problem asks to list three values in the solution set for the first graph with points 0, 1, 2, 2.25, 3, 4 and arrows extending to the right starting at 0. 2. Since the arrow extends to the right starting at 0, the solution set includes all values $x$ such that $x \geq 0$. 3. Three values in this solution set are $0$, $1$, and $2.25$. 4. The second graph has points -3, -2, -1, 0, 1 with arrows extending to the left starting at 0. 5. This means the solution set includes all values $x$ such that $x \leq 0$. 6. Three values in this solution set are $0$, $-1$, and $-3$. 7. For Jasmine's budget problem: - Variable: Let $x$ be the number of square feet of countertops. - Inequality: $175 + 36x \leq 600$ - Solve: Subtract 175 from both sides: $36x \leq 425$ - Divide both sides by 36: $x \leq \frac{425}{36} \approx 11.8$ - Jasmine can purchase up to 11 square feet (since partial square feet may not be practical). 8. For Hayden's earnings problem: - Variable: Let $h$ be the number of hours worked. - Inequality: $9.50h + 50 \geq 600$ - Solve: Subtract 50 from both sides: $9.50h \geq 550$ - Divide both sides by 9.50: $h \geq \frac{550}{9.50} \approx 57.89$ - Hayden must work at least 58 hours. 9. For Russell's ties and belt problem: - Variable: Let $t$ be the price of each tie. - Inequality: $3t + 8.50 \leq 80$ - Solve: Subtract 8.50 from both sides: $3t \leq 71.50$ - Divide both sides by 3: $t \leq \frac{71.50}{3} \approx 23.83$ - Russell can pay up to $23.83 for each tie. 10. Writing two-step inequalities involves isolating the variable step-by-step by undoing addition/subtraction first, then multiplication/division. Final answers: - First graph solution values: $0$, $1$, $2.25$ - Second graph solution values: $0$, $-1$, $-3$ - Jasmine's maximum square feet: $x \leq 11$ - Hayden's minimum hours: $h \geq 58$ - Russell's maximum tie price: $t \leq 23.83$