When we want to graph an inequality of a linear relation, we will always do the following:
Change the inequality sign by an equal sign and graph the relation represented by the equality. It will be a linear graph because we are working with linear relation.
Now, input back the inequality sign. The linear graph wil divide the plane into two areas, one of them obeys the inequality sign, so we mark that area. If the inequality sign is of type "equal to or greater than" or "equal to or less than", we mark the line as full line. If it is not, we mark as a dashed line to indicate the line is not included in the solution.
In this case, we have:
[tex]x\le5[/tex]
So, we put the equal sign:
[tex]x=5[/tex]
And graph is. Since it is on the form x = a, where "a" is a constant, this is a vertical line on a, so a vertical line on 5.
Now, we need to input back the inequality sign:
[tex]x\le5[/tex]
Since the sign is "equal to or less than" we want a full line and the area we want to mark is the area to the left of the line, because these are the values less than the line.
So, the graph is:
