Step-by-step explanation:
The graph of x ≤ 5 is a vertical line.
Vertical lines have undefined slopes are symbolically represented by the equation, x = a where a is the x-intercept. The same goes with linear inequalities—you would graph it the same way you normally graph a linear equation.
Another important detail to remember with graphing linear inequalities is the inequality symbol used. If you have "≤ " or " ≥ ," then you will have a solid line for your boundary line. If the linear inequality has "<" or ">," then you will use a dashed line for the boundary line.
To graph x ≤ 5, start at point (5, 0), then draw a vertical line from that point. You will also shade the region below, given the inequality symbol, "≤ ."
Attached is a screenshot of the graphed linear inequality, x ≤ 5.
