Which inequality represents the graph below:

Question

(1 point)
Responses

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

3x+7>10
3 x plus 7 is greater than 10

−3x+7<10
−3x+7<10

−3x−7≥−10

Answer 1

To find out which inequality corresponds to the graph you are referring to, let's analyze the provided options based on typical interpretations of inequalities and sketching graphs.

1. 3x - 7 ≤ -10

   • This simplifies to \(3x \le -3\) or \(x \le -1\).
   • This represents all x-values less than or equal to -1.

2. 3x + 7 > 10

   • This simplifies to \(3x > 3\) or \(x > 1\).
   • This represents all x-values greater than 1.

3. −3x + 7 < 10

   • This simplifies to \(-3x < 3\) or \(x > -1\).
   • This represents all x-values greater than -1.

4. −3x − 7 ≥ −10

   • This simplifies to \(-3x ≥ -3\) or \(x ≤ 1\).
   • This represents all x-values less than or equal to 1.

To choose the correct inequality, we would need to identify the key features of the graph you are describing, such as where the boundary lies, whether it is open or closed, and which direction the shading goes. If you can provide me with that description or characteristics of the graph, I can help determine which inequality best represents it.