Q. QuestionWatch ViderSelect the inequality which represents the graph shown below.
Analyze the graph: Step 1: Analyze the graph to determine the key features such as slope, y-intercept, and whether the line is solid or dashed.
Identify direction: Step 2: Identify if the graphed line is above or below the shaded region to determine the direction of the inequality (greater than or less than).
Write line equation: Step 3: Write the equation of the line based on the slope and y-intercept observed. Suppose the slope is 2 and the y-intercept is −3, the equation of the line is y=2x−3.
Choose inequality symbol: Step 4: 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.
Determine line type: Step 5: Determine if the inequality is strict (dashed line) or includes equality (solid line). Assume the line is solid, indicating 'or equal to'.
Combine to write inequality: Step 6: Combine the information to write the inequality. The final inequality is y≤2x−3.
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