Answer:
The system of inequalities shown in the graph is x ≤ 4 and y > 1 ⇒ C
Explanation:
- The equation of a vertical line is x = a, where a is the x-coordinate of any point on the line
- The equation of a horizontal line is y = b, where b is the y-coordinate of any point on the line
In the given figure, there are 2 lines, let us find the equations of them, then write the inequalities which represent the shaded areas
∵ The purple line is a vertical line
∵ It is cross the x-axis at the point (4, 0)
→ By using the first rule above
∴ The equation of the purple line is x = 4
∵ The purple line is solid and the shaded area left the line
∴ The sign inequality is ≤
∴ The inequality of the purple area is x ≤ 4
∵ The blue line is a horizontal line
∵ It is cross the y-axis at the point (0, 1)
→ By using the second rule above
∴ The equation of the blue line is y = 1
∵ The blue line is dashed and the shaded area above the line
∴ The sign inequality is >
∴ The inequality of the blue area is y > 1
∴ The system of inequalities shown in the graph is x ≤ 4 and y > 1