Inequality Graph A1937A
1. The problem asks to identify the inequality represented by the graph.
2. The graph shows a dashed line with a negative slope intersecting the y-axis near 3 and the x-axis near 3.
3. The equation of the line can be found using the intercepts: y-intercept = 3 and x-intercept = 3.
4. The slope $m$ is calculated as $m = \frac{0 - 3}{3 - 0} = \frac{-3}{3} = -1$.
5. Using the slope-intercept form $y = mx + b$, where $b$ is the y-intercept, the line equation is:
$$y = -x + 3$$
6. The line is dashed, indicating the inequality is strict (either $>$ or $<$).
7. The shaded region is above the line, meaning the inequality is:
$$y > -x + 3$$
8. Therefore, the inequality shown in the graph is $y > -x + 3$.