Choose the correct solution and graph for the inequality. (1 point) Responses Image with alt text: y less-than-or-equal-to 6 Image with alt text: A number line has a closed circle at 6 and is filled in to the left. Image with alt text: y less-than-or-equal-to negative 6 Image with alt text: A number line has a closed circle at negative 6 and is filled in to the left. Image with alt text: y greater-than-or-equal-to negative 6 Image with alt text: A number line has a closed circle at negative 6 and is filled in to the right. Image with alt text: y greater-than-or-equal-to 6 Image with alt text: A number line has a closed circle at 6 and is filled in to the right.

Question

Choose the correct solution and graph for the inequality. (1 point) Responses Image with alt text: y less-than-or-equal-to 6 Image with alt text: A number line has a closed circle at 6 and is filled in to the left. Image with alt text: y less-than-or-equal-to negative 6 Image with alt text: A number line has a closed circle at negative 6 and is filled in to the left. Image with alt text: y greater-than-or-equal-to negative 6 Image with alt text: A number line has a closed circle at negative 6 and is filled in to the right. Image with alt text: y greater-than-or-equal-to 6 Image with alt text: A number line has a closed circle at 6 and is filled in to the right.

Answer 1

The correct solution and graph for the inequality y less-than-or-equal-to 6 is:

- Image with alt text: A number line has a closed circle at 6 and is filled in to the left.

Answer 2

The correct solution and graph for the inequality "y less-than-or-equal-to 6" is:

Image: A number line has a closed circle at 6 and is filled in to the left.

Answer 3

To determine the correct solution and graph for the inequality, we need to understand the meaning of the inequality symbols and how to represent them on a number line.

1. "y ≤ 6" means that the variable y is less than or equal to 6. To represent this on a number line, we place a closed circle (representing inclusivity) at 6 and fill in the region to the left of the circle. This indicates that any value of y less than or equal to 6 is a solution.

2. "y ≤ -6" means that the variable y is less than or equal to -6. Similarly, on a number line, we place a closed circle at -6 and fill in the region to the left. This indicates that any value of y less than or equal to -6 is a solution.

3. "y ≥ -6" means that the variable y is greater than or equal to -6. On a number line, we place a closed circle at -6 and fill in the region to the right. This represents that any value of y greater than or equal to -6 is a solution.

4. "y ≥ 6" means that the variable y is greater than or equal to 6. On a number line, we place a closed circle at 6 and fill in the region to the right. This indicates that any value of y greater than or equal to 6 is a solution.

Based on the descriptions above, the correct solution and graph for the inequality "y ≤ 6" is:
- A number line with a closed circle at 6 and filled in to the left.