Answer:
y > (1/2)x
Explanation:
The equation of the graph is y = (1/2)x, which represents a straight line with a slope of 1/2 passing through the origin (0,0).
Since the line is solid at 0 and 2, this means that the points (0,0) and (2,1) are included in the graph.
The area above the line is shaded, which means that all points above the line satisfy the inequality.
To find the inequality represented by the graph, we can use the slope-intercept form of a line, which is:
y = mx + b
where m is the slope and b is the y-intercept. For the given line, the slope is 1/2 and the y-intercept is 0, so the equation can be written as:
y = (1/2)x + 0
or simply:
y = (1/2)x
Since all points above the line satisfy the inequality, we can use the greater than symbol to represent the inequality:
y > (1/2)x
Therefore, the inequality represented by the graph is:
y > (1/2)x
Hope this helps, I'm sorry if it didn't. If you need more help, ask me! :]
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