Question 1: Simplify and write the inequality: 3x + 5 ≥ 11.

Answer: x ≥ 2

Question 2: Solve for y: 2y - 4 ≤ 10.

Answer: y ≤ 7

Question 3: Plot the graph of y ≥ 2x - 3 on the grid.

Answer: Student plots the line y=2x-3 with shading above

Question 4: Construct a triangle with sides of lengths at least 4 cm and at most 8 cm, satisfying the inequality: a + b ≥ c.

Answer: Students draw a triangle with sides meeting the conditions, e.g., a=5, b=8, c=12

Question 5: An athlete runs at a speed of at least 10 km/h. Write an inequality to represent the maximum time t (in hours) they can run if distance d is 50 km.

Answer: t ≤ 5

Question 6: The sum of two numbers, x and y, is at least 15. Write this as an inequality.

Answer: x + y ≥ 15

Question 7: Solve for z: 5z + 2 ≤ 17.

Answer: z ≤ 3

Question 8: A measure x satisfies x ≥ 4 and x ≤ 10. List all possible integer values.

Answer: [4, 5, 6, 7, 8, 9, 10]

Question 9: Determine whether the statement 'x ≥ 3 and x ≤ 5' is equivalent to '3 ≤ x ≤ 5'.

Answer: Yes, they are equivalent.

Question 10: Identify the error in the statement: 'x ≥ 7, so x < 7'.

Answer: Contradiction; x cannot be both ≥7 and <7

Question 11: A box's weight w is at least 2 kg but no more than 10 kg. Write this as an inequality.

Answer: 2 ≤ w ≤ 10

Question 12: Extend the inequality: 4x - 1 ≥ 3x + 2. Find the solution for x.

Answer: x ≥ 3