What Is The A Solution For The In Equality 3x-1?

If 3x-1 is greater than zero then;

3x-1 >0 ------(a)

the associated equation is;

3x-1= 0

3x=1

x=1/3

so, equation (a) is satisfies only when x>1/3

so the solution for (a) is ]1/3  +infinity[

If 3x-1 is less than zero then;

3x-1<0 ------(b)

then associated equation is;

3x-1=0

x=1/3

equation (b) is satisfies only when x< 1/3
so solution is ]-infinity   1/3]

so, the solution for inequality 3x-1 is ]-infinity  +infinity[

X<1/3

A solution for the equality 3x-1< is