Question 1: Plot the point representing x where x > 3 on the number line.

Answer: Open circle at 3, arrow to right

Question 2: Plot the point representing x ≤ -2 on the number line.

Answer: Closed circle at -2, arrow to left

Question 3: What inequality symbol represents the shaded region between -1 and 4, including -1 but not 4?

Answer: −1 ≤ x < 4

Question 4: Plot the points where x ≤ 1 and x ≥ 5 on the number line. How many points are plotted?

Answer: Two points

Question 5: Construct a triangle on the number line with vertices at -3, 0, and 2. Connect the vertices with straight lines.

Answer: Students draw lines connecting -3 to 0, 0 to 2, and -3 to 2

Question 6: Solve for x: x + 2 > 5. Show working on the grid.

Answer: x > 3

Question 7: On the number line, plot x < -1 and x > 2. Shade the appropriate regions.

Answer: Open circles at -1 and 2, arrows to left of -1 and right of 2

Question 8: Identify the error in plotting the inequality x ≥ 0 with an open circle at 0.

Answer: Open circle should be at 0, not closed; since x ≥ 0 includes 0, it should be closed.

Question 9: Plot the inequality 2x < 8 on the number line and find the solution set.

Answer: x < 4

Question 10: A student plots x > 5 with a closed circle. Is this correct? Explain and correct if necessary.

Answer: No, the correct symbol is open circle for x > 5 since 5 is not included.

Question 11: Challenge: Plot the inequality −2 < x ≤ 3 on the number line. Describe the shaded region and the circle types.

Answer: Shaded region from slightly right of -2 to 3, with a closed circle at 3 and an open at -2.