Which inequality represents the graph below:

(1 point)
Responses

−3x−7≥−10
negative 3 x minus 7 is greater than or equal to negative 10

−3x+7<10
−3x+7<10

3x−7≤−10
3 x minus 7 is less than or equal to negative 10

3x+7>10

1 answer

To determine which inequality represents the graph, we need to analyze the information typically provided in a graphical representation of inequalities (like regions shaded above or below a line, or open and closed circles).

However, since I cannot see the graph, I'll guide you on how to approach it based on the inequalities provided:

  1. Identify the slope and intercept: Look for the line represented in the graph. Determine its slope (positive or negative) and where it crosses the y-axis (y-intercept).

  2. Determine direction (greater than or less than): Check if the shaded region is above or below the line.

    • If the region is above the line, it will usually represent inequalities like \( y > mx + b \) or \( y \geq mx + b \).
    • If the region is below the line, it will usually represent inequalities like \( y < mx + b \) or \( y \leq mx + b \).
  3. Check for equality: Look for closed or open circles at points of intersection to determine whether it is an inclusive inequality (≥ or ≤) or not ( > or <).

  4. Test the given inequalities: Plug in a point from the shaded region into each inequality to see if it holds true.

  5. Reviewing the options:

    • \( -3x - 7 \geq -10 \)
    • \( -3x + 7 < 10 \)
    • \( 3x - 7 \leq -10 \)
    • \( 3x + 7 > 10 \)

Follow these steps for whichever graph you have in front of you. If you have more details about the graph or additional context, I can provide further assistance!