Solve the inequality (4x+1/3 less than 2x/3-2 (Ii) 1x/3 - 2 less than 2x/5+1/4?

To solve the inequality (4x + 1)/3 < (2x)/3 - 2, we first need to simplify both sides of the inequality:

(4x + 1)/3 < (2x)/3 - 2
4x + 1 < 2x - 6
4x - 2x < -6 - 1
2x < -7
x < -7/2

Therefore, the solution to the inequality (4x + 1)/3 < (2x)/3 - 2 is x < -7/2.

To solve the inequality (x)/3 - 2 < (2x)/5 + 1/4, we first need to simplify both sides of the inequality:

(x)/3 - 2 < (2x)/5 + 1/4
5(x) - 30 < 6(2x) + 15
5x - 30 < 12x + 15
5x - 12x < 15 + 30
-7x < 45
x > -45/7

Therefore, the solution to the inequality (x)/3 - 2 < (2x)/5 + 1/4 is x > -45/7.