Question 1: Calculate the value of x if 3x + 5 < 20.

Answer: x < 5

Question 2: Determine whether 7 + 3 > 2 * 5, 3 + 4 < 8, or 6 = 6.

Answer: 7 + 3 = 2 * 5; 3 + 4 < 8; 6 = 6

Question 3: Plot the graph of y = 2x and shade the region where y > x.

Answer: Student plots the line y=2x and shades above y=x

Question 4: Solve for x: 5x - 2 ≥ 3x + 4.

Answer: x ≥ 6

Question 5: Construct a triangle with side lengths satisfying a < b and b > c, where a = 4, c = 5, and b is between 4 and 5. Label the sides appropriately.

Answer: Correctly labeled triangle with a < b < c, with b between 4 and 5

Question 6: Identify and correct the error: The statement 8 > 10 is false, but the student marked it as true.

Answer: The correct symbol should be '<'; 8 < 10, so the statement is true with '<'.

Question 7: Compare 0.75 and ¾ using inequality symbols.

Answer: 0.75 = ¾

Question 8: A fruit basket contains at least 5 apples and more than 3 oranges. Write a possible inequality statement for the number of oranges, o.

Answer: o > 3

Question 9: Order the following inequalities from smallest to largest: 2, 2.5, 1.75, 2.25.

Answer: 1.75 < 2 < 2.25 < 2.5

Question 10: If x > 4 and y ≤ 2x, what are the possible values of y when x=6?

Answer: y ≤ 12

Question 11: Prove whether 9 - 4 > 3 + 1, and explain your reasoning.

Answer: 9 - 4 = 5 and 3 + 1 = 4, so 5 > 4, statement is true.