Question 1154175
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The required inequality is


    y > {{{(1/2)x-1/2}}}       (1)


Tthe solution set is the set of all points (x,y) of the coordinate plane ABOVE the straight line 
(the domain shown YELLOW in the plot)


    y = {{{(1/2)x - 1/2}}}.    (2)


The straight line itself is not included into the solution set.


Inequality (1) can be EQUIVALENTLY presented in the form


    2y - x + 1 > 0,            (3)


which has the required form.
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Solved, answered, explained and completed.