Answer: the inequality that matches de graph is x ≤ 5.
Explanation:
1) The vertical line through the point (5,0) is represented by x = 5.
2) The area to the left of the vertical line x = 5 contents all the points whose x-coordinate is less than five.
Please, find attached the figure with the graph described in the question.
3) A solid line is used to indicate that the points on the line are included in the solution region (a dashed line is used to indicate that the points on the line are excluded)
Therefore, the graph includes the points on the line x = 5 and the points with x-coordinate less than 5.
4) Hence, you have to use an inequality with the symbol ≤, which means less than or equal to.
x ≤ 5 means less than or equal to 5, which is the inequality searched.
