Question 91104
Start with the given inequality:


{{{d>=-3}}}


Set up a number line:


{{{number_line( 500, -10, 10)}}} note: just replace the x with the variable you are working with



Now plot the point -3 on the number line



{{{number_line( 500, -10, 10, -3)}}}



Now pick any test point you want, I'm going to choose 0, and test the inequality {{{d>=-3}}}



{{{0>=-3}}} Plug in {{{d=0}}}



Since this inequality is  true, we simply shade the entire portion that contains 0 using the point -3 as the boundary. This means we shade everything to the right of the point -3 like this:


{{{drawing(500,50,-10,10,-10,10,
number_line( 500, -10, 10, -3),
blue(line(-3,-5,3+6.8,-5)),
blue(line(-3,-6,3+6.8,-6)),
blue(line(-3,-7,3+6.8,-7)),
blue(arrow(-3,-5,3+7,-5)),
blue(arrow(-3,-5.5,3+7,-5.5)),
blue(arrow(-3,-6,3+7,-6))
)}}} Graph of {{{d>=-3}}} with the shaded region in blue


note: at the point -3, there is an <b>closed</b> circle. This means the point -3 is included from the solution set.