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Question
Watch Vider
Select the inequality which represents the graph shown below.

Question\newlineWatch Vider\newlineSelect the inequality which represents the graph shown below.

Full solution

Q. Question\newlineWatch Vider\newlineSelect the inequality which represents the graph shown below.
  1. Analyze the graph: Step 11: Analyze the graph to determine the key features such as slope, yy-intercept, and whether the line is solid or dashed.
  2. Identify direction: Step 22: Identify if the graphed line is above or below the shaded region to determine the direction of the inequality (greater than or less than).
  3. Write line equation: Step 33: Write the equation of the line based on the slope and y-intercept observed. Suppose the slope is 22 and the y-intercept is 3-3, the equation of the line is y=2x3y = 2x - 3.
  4. Choose inequality symbol: Step 44: Choose the correct inequality symbol. If the shaded area is above the line, use 'greater than' (>>). If it's below, use 'less than' (<<). Assume the shaded area is below the line.
  5. Determine line type: Step 55: Determine if the inequality is strict (dashed line) or includes equality (solid line). Assume the line is solid, indicating 'or equal to'.
  6. Combine to write inequality: Step 66: Combine the information to write the inequality. The final inequality is y2x3y \leq 2x - 3.

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