The number of integers satisfying −2 < x ≤ 3 is:

Find the greatest integer x for which 4x − 7 < 2x + 5.

Solve 5 − 2x ≥ 1 and represent the solution on a number line, x being a real number.

Solve −3 ≤ (3 − 2x)/2 < 3 where x is an integer, and write the solution set.

Solve the inequation (2x − 1)/3 ≤ (x + 2)/2 where x is a real number.

Solve −4 < 2x − 6 ≤ 4 where x is an integer, and write the solution set.

Find the smallest value of x that satisfies 2x + 5 > 3 − x when x is an integer.