Question 107459
{{{2y+7>11}}}.....move {{{7}}} to the right

{{{2y > 11 - 7}}}

{{{2y > 4}}}.....divide both sides by {{{2}}}

{{{y > 2}}}

graph as an equation {{{y=2}}}, and see that there are no {{{x}}} for what is {{{y>2}}}:

This inequality is a common "real life" constraint: only allowing {{{y}}} to be {{{greater}}} then {{{2}}}.  The line "{{{y = 0}}}" is just the line parallel to {{{x-axis}}}, and we want the all positive values of {{{y}}} above the line. You need to dash the line in, because this isn't an "or equal to" inequality, so the "solution" of the system is the shaded part above the line.


*[invoke describe_linear_equation 0, 1, 2]