Find the greatest integer which is such that if 7 is added to its double, the resulting number becomes greater than three times the integer.

One-third of a bamboo pole is buried in mud, one-sixth of it is in water and the part above the water is greater than or equal to 3 metres. Find the length of the shortest pole.

If x ∈ W, then the solution set of the inequation 3x + 11 ≥ x + 8 is

1. {-2, -1, 0, 1, 2, …}
2. {-1, 0, 1, 2, …}
3. {0, 1, 2, 3, …}
4. {x : x ∈ R, x ≥ –$\dfrac{3}{2}$ }

If x ∈ W, then the solution set of the inequation 5 - 4x ≤ 2 - 3x is

1. {…, -2, -1, 0, 1, 2, 3}
2. {1, 2, 3}
3. {0, 1, 2, 3}
4. {x : x ∈ R, x ≤ 3}