Question 1: Plot the number 3 on the number line below.

Answer: 3

Question 2: Plot the inequality x < 2 on the number line.

Answer: open circle at 2, shading left

Question 3: Determine the region representing x ≥ -1 on the number line.

Answer: closed circle at -1, shading right

Question 4: Identify the inequality represented by a closed circle at 4 and shading to the right.

Answer: x ≥ 4

Question 5: Plot the solution set for x > 1 on the number line.

Answer: open circle at 1, shading right

Question 6: Construct a number line segment to represent the solution to -2 ≤ x ≤ 3.

Answer: Line segment from -2 (closed) to 3 (closed)

Question 7: Solve for x: 2x + 3 > 7. Show your working.

Answer: x > 2

Question 8: A student plots x ≤ -1 on the number line. The circle is closed at -1, but the shading is to the right. Is this correct? Explain.

Answer: No, it should shade to the left for x ≤ -1, since the inequality includes values less than or equal to -1.

Question 9: Plot and label the solution for the compound inequality: x > -2 and x < 3.

Answer: Open circle at -2, open circle at 3, shading in between

Question 10: Identify the mistake in this plot: A closed circle at 0 with shading to the right, representing x > 0.

Answer: The circle should be open at 0 for x > 0, since 0 is not included.

Question 11: Challenge: On the grid, construct a number line segment representing x > -1 and x ≤ 4, then shade the appropriate region.

Answer: Line from -1 (open) to 4 (closed), shading in between