```Question 116781

{{{y>=2}}}

Set up a number line:

{{{number_line(500,-8,12)}}} note: just replace the x with the variable you are working with

Now plot the point {{{y=2}}} on the number line

{{{number_line(500,-8,12, 2)}}}

Now pick any test point you want, I'm going to choose y=0, and test the inequality {{{y>=2}}}

{{{0>=2}}} Plug in {{{y=0}}}

Since this inequality is <font size=4><b>not</b></font> true, we simply shade the entire portion that does <font size=4><b>not</b></font> contain the point y=0 using the point {{{y=2}}} as the boundary. This means we shade everything to the right of the point {{{y=2}}} like this:

{{{drawing(500,50,-8,12,-10,10,
number_line(500,-8,12, 2),
blue(line(2,-5,2+10,-5)),
blue(line(2,-6,2+10,-6)),
blue(line(2,-7,2+10,-7)),
blue(arrow(2,-5,2+10.2,-5)),
blue(arrow(2,-5.5,2+10.2,-5.5)),
blue(arrow(2,-6,2+10.2,-6))
)}}} Graph of {{{y>=2}}} with the shaded region in blue

note: at the point {{{y=2}}}, there is an <font size=4><b>closed</b></font> circle. This means the point {{{y=2}}} is included from the solution set.

```