how to graph the inequality x<=5

Question

I need help trying to figure out how to even come up with the coordinates or points to graph this inequality.

Answer 1

When I graph inequalities, I first look at it as an equality.

 

In this case that would be x=5.

 

Now the graph of x=5 is a vertical line through the x-axis at x=5.

 

Since the original problem ix x≤5, I can make this a solid line.

FYI, if the problem is x<5, a strict inequality, make it a dotted/dashed line

 

Now that we have our line, we need to shade the area that is represented by the inequality.

 

Since x≤5, shade the area where x≤5.  In this case, the shaded area would be all the area to the left of the vertical line.

 

Hope that helps.