Question 86356
Start with the given inequality:

{{{x<1}}}


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 1 on the number line


{{{number_line( 500, -10, 10, 1)}}}


Now pick any test point you want, I'm going to choose 0, and test the inequality {{{x<1}}}


{{{0<1}}} Plug in {{{x=0}}}


Since this inequality is true, we simply shade the entire portion in which contains 0 using the point 1 as the boundary. This means we shade from 1 and go to the left like this

{{{drawing(500,50,-10,10,-10,10,
number_line( 500, -10, 10),
circle(1,-5.8,0.35),
circle(1,-5.8,0.4),
circle(1,-5.8,0.45),
blue(line(1,-5,1+-8.8,-5)),
blue(line(1,-6,1+-8.8,-6)),
blue(line(1,-7,1+-8.8,-7)),
blue(arrow(1,-5,1+-9,-5)),
blue(arrow(1,-5.5,1+-9,-5.5)),
blue(arrow(1,-6,1+-9,-6))
)}}} note: at the point 1, there is an <b>open</b> circle. This means the point 1 is excluded from the solution set.