Question 80568
One thing that looks funny here is you put a - under the >
so I guess you mean (greater than or equal to) which I usually
type like this: >=  when I am on a computer.

{{{ x / (-2) >=  3x / 4 }}}

It is going to be helpful here to gather all the x on one side of the equation, and then it will be easy - it will come out as {{{ x>=0 }}} or {{{ x < 0 }}} but you'll have to be sure you do the steps right

The easiest thing here is :  add {{{ x/2 }}} to each side

{{{ x/(-2) + (x/2) >= 3x/4 + x/2 }}}

On the right side the common demoninator is 4.  The x/2 is equal to 2x/4.

{{{ 0 >= 3x/4 + 2x/4 }}}

{{{ 0 >= 5x / 4 }}}

Now you multiply both sides by 5/4

{{{ 0 * 5/4 >= 5x/4 * 5/4 }}}
{{{ 0 >= x }}}

Just as I thought  The inequality is true for any {{{ x < 0 }}} and you can check by trying {{{ x = -4 }}} to see if it comes out true:

{{{ -4/-2 >= 3*(-4) / 4 }}}
{{{ 2 >= -3 }}}