1. The problem gives the inequality $$29 > 2x + 7x + 7$$ and asks to analyze the graph and test some values. 2. First, simplify the inequality: $$29 > 2x + 7x + 7$$ $$29 > 9x + 7$$ 3. Subtract 7 from both sides: $$29 - 7 > 9x + \cancel{7} - \cancel{7}$$ $$22 > 9x$$ 4. Divide both sides by 9: $$\frac{22}{9} > x$$ This means $$x < \frac{22}{9}$$ approximately $$x < 2.44$$. 5. For the graph of $$x < 2.44$$, the circle at $$x = 2.44$$ is open because $$x$$ cannot equal $$2.44$$. 6. The arrow points to the left because the inequality is $$x < 2.44$$. 7. Check if 8 is a solution: $$8 < 2.44?$$ No, so false. 8. Check if 11 is a solution: $$11 < 2.44?$$ No, so false. 9. Check if 13 is a solution: $$13 < 2.44?$$ No, so false. 10. The user answers were: - Blank 1: open (correct) - Blank 2: left (correct) - Blank 3: true (incorrect, 8 is not a solution) - Blank 4: false (correct) - Blank 5: true (incorrect, 13 is not a solution) --- Now for Question 4: 1. Ricky mixes 4 pints white for every 12 pints blue. 2. Total paint is 56 pints. 3. The ratio white:blue is 4:12 which simplifies to 1:3. 4. Let the number of white pints be $$w$$ and blue pints be $$b$$. 5. From ratio: $$w = \frac{1}{3}b$$. 6. Total paint: $$w + b = 56$$. 7. Substitute $$w$$: $$\frac{1}{3}b + b = 56$$ 8. Combine terms: $$\frac{1}{3}b + \frac{3}{3}b = 56$$ $$\frac{4}{3}b = 56$$ 9. Multiply both sides by $$\frac{3}{4}$$: $$b = 56 \times \frac{3}{4}$$ $$b = 42$$ 10. Find $$w$$: $$w = \frac{1}{3} \times 42 = 14$$ So, Ricky used 42 pints blue and 14 pints white. --- Summary: - Question 3 answers: Blank 3 and Blank 5 are incorrect. - Question 4 solution: 42 pints blue, 14 pints white.