Ok, please help.. I'm stuck on this one. how do work it? What is the inteval for the solution?

Question

5z-(3+z) greater than or equal 2(3z+1)
5z-3-z greater than or equal 6z+1? Do you distribute and multiply 5z*3? or just the negative sign and remove the ()?
5z-6z-3-zgreater than or equal 6z-5z+1
-2zgreater thanor equal to 1z+1
-2z-1zgreater than or equal 1 ?
-3zgreater than or equal 1

Answer 1

5z-(3+z)>=2(3z+1)
5z-3-z>=6z+2
4z-3>= 6z+2
-3-2>=6z-4z
-5>=2z
-2.5>=z
z<=-2.5

Answer 2

z less than or equal to -5/2

Answer 3

The guy above me is right.