+23252 (2/3)(x - 2) < (1/2)(x + 1) < (3/4)(5x + 6)
Multiply through by 12: ---> 8(x - 2) < 6(x + 1) < 9(5x + 6)
Simplify: 8x - 16 < 6x + 6 < 45x + 54
Add 16: 8x < 6x + 22 < 45x + 60
Because x is a positive number: 6x + 22 will always be less than 45x + 60; so we can ignore the far
right-hand side.
Solving: 8x < 6x + 22
2x < 22
x < 11 ---> x = 2, 3, 5, 7
