Subjects algebra

Inequality Graph A1937A

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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 $y > -x + 3$.