Which inequality represents the graph below:

Question

(1 point)
Responses

3x−7≤−103 x minus 7 is less than or equal to negative 10

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

3x+7>103 x plus 7 is greater than 10

−3x+7<10

Answer 1

To determine which inequality corresponds to the graph mentioned, we need to identify the features of the graph such as the slope, intercepts, and direction of the inequality (greater than, less than, greater than or equal to, less than or equal to).

Since I can't see the graph, I'll provide an analysis of each option based on the typical format of inequalities:

1. $3x-7\le -10$

   • This inequality can be solved as $3x\le -3$, leading to $x\le -1$. This represents a horizontal line with shading to the left.

2. $-3x-7\ge -10$

   • Solving gives $-3x\ge -3$ or $x\le 1$. This also describes a line with shading to the left.

3. $3x+7>10$

   • This simplifies to $3x>3$, thus $x>1$. This represents a line with shading to the right.

4. $-3x+7<10$

   • Solving leads to $-3x<3$ or $x>-1$. This depicts a line with shading to the right.

To select the correct inequality, you would need to determine where shading occurs (left or right of a line), and whether the line is solid (inclusive) or dashed (exclusive).

If you can describe the slope, where the line crosses the axes, or the direction of shading, I can help you identify the correct inequality.