Solving inequality, (x-3) / 2 - (x + 3) / 6 > (4 + 5x) / 3

Solving inequality, (x-3) / 2 - (x + 3) / 6 > (4 + 5x) / 3


Multiply it by six
3(x-3)-(x+3)>2(4+5x)
3x-9-x-3>8+10x
2x-12>10x+8
Then 8x < - 20
x<-5/2



Solving inequality x ^ (2 / 3) > x ^ (3 / 5)


For x > 0
x^(2/3)>x^(3/5) =>
x^(2/3)/x^(3/5)>1
x^(1/15)>1
x>1
For X0
x^(3/5)