This graph shows the solution to which inequality?

(3 3)
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1 answer

It appears you're describing a point or a coordinate, potentially within the context of a graphical representation of an inequality. However, without the image of the graph or additional context, I can only provide general assistance.

To analyze which inequality a point like (3, 3) could be part of, consider the following steps:

  1. Identify the Type of Inequality: The graph could represent linear inequalities (e.g., \(y < mx + b\), \(y \leq mx + b\), \(y > mx + b\), \(y \geq mx + b\)) or more complex inequalities (e.g., \(x^2 + y^2 < r^2\) for circles).

  2. Test the point in possible inequalities: Substitute the coordinates (3, 3) into various inequalities to see if they satisfy them. For example:

    • For \(y < 2x\): Check if \(3 < 2(3)\) → Yes, it satisfies the inequality.
    • For \(y \geq x + 1\): Check if \(3 \geq 3 + 1\) → No, it does not satisfy.
  3. Determine the Region: Analyze the shading in the graph, which indicates the solution set for the inequality. If the region includes the point (3, 3), then it is part of the solution to the inequality.

  4. Look at Boundary Lines: If there is a dashed or solid line in the graph, this can indicate whether the boundary included in the solution set (solid for \(\geq\) or \(\leq\) and dashed for \(>\) or \(<\)).

If you have specific inequalities or graph images you want to refer to, please provide them for a more detailed analysis.