Arrange the marks on a stem-and-leaf plot in ascending order, list possible integer values for p given -4 < p ≤ 3, and solve 27p < 15p + 108.

Here are the solutions to the questions: 1. a. i. Arrange the marks on a stem-and-leaf plot in ascending order. The masses are: 68, 42, 63, 57, 66, 54, 72, 58, 57, 73, 61, 40, 54, 63, 45, 63, 57, 63, 58, 56, 48, 39. First, sort the data in ascending order: 38, 39, 40, 42, 45, 48, 54, 54, 56, 57, 57, 57, 58, 58, 61, 63, 63, 63, 63, 66, 68, 72, 73. Stem-and-leaf plot: c|l Stem & Leaf \\ 3 & 8, 9 \\ 4 & 0, 2, 5, 8 \\ 5 & 4, 4, 6, 7, 7, 7, 8, 8 \\ 6 & 1, 3, 3, 3, 3, 6, 8 \\ 7 & 2, 3 Key: 3 | 8 represents 38 kg. 1. a. ii. a. List all the possible values of p. Given that p is an integer such that -4 < p ≤ 3. The integers greater than -4 are -3, -2, -1, 0, 1, 2, 3, . The integers less than or equal to 3 are , 0, 1, 2, 3. Combining these conditions, the possible integer values for p are: -3, -2, -1, 0, 1, 2, 3 1. a. ii. b. Solve the inequality 27p < 15p + 108 and illustrate the truth set on a number line. Step 1: Subtract 15p from both sides of the inequality. 27p - 15p < 108 12p < 108 Step 2: Divide both sides by 12. p < (108)/(12) p < 9 The truth set is \p R p < 9\. Illustration on a number line: Draw a number line. Place an open circle at 9 and draw an arrow extending to the left, indicating all numbers less than 9. 1. b. i. Find the truth set of the inequality (2x-2)/(4) - (2x-1)/(3) ≤ 1 and illustrate your answer on a number line. Step 1: Find a common denominator for the fractions, which is 12. Multiply the entire inequality by 12. 12 ( (2x-2)/(4) ) - 12 ( (2x-1)/(3) ) ≤ 12(1) 3(2x-2) - 4(2x-1) ≤ 12 Step 2: Distribute the numbers into the parentheses. 6x - 6 - (8x - 4) ≤ 12 6x - 6 - 8x + 4 ≤ 12 Step 3: Combine like terms. (6x - 8x) + (-6 + 4) ≤ 12 -2x - 2 ≤ 12 Step 4: Add 2 to both sides. -2x ≤ 12 + 2 -2x ≤ 14 Step 5: Divide both sides by -2. Remember to reverse the inequality sign when dividing by a negative number. x ≥ (14)/(-2) x ≥ -7 The truth set