Choose the correct solution and graph for the inequality.y/3≥-5 (1 point) y≤15 Responses Image with alt text: y less-than-or-equal-to 15 Image with alt text: A number line has a closed circle at 15 and is filled in to the left. Image with alt text: y less-than-or-equal-to negative 8 Image with alt text: A number line has a closed circle at negative 8 and is filled in to the left. Image with alt text: y greater-than-or-equal-to negative 15 Image with alt text: A number line has a closed circle at negative 15 and is filled in to the right. Image with alt text: y greater-than-or-equal-to 15 Image with alt text: A number line has a closed circle at 15 and is filled in to the right. Skip to navigation
The correct solution and graph for the inequality y/3 ≥ -5 is:
y ≤ 15
Image with alt text: y less-than-or-equal-to 15
The correct solution and graph for the inequality y/3 ≥ -5 is y ≤ 15.
To solve the inequality y/3 ≥ -5, you can follow these steps:
Step 1: Multiply both sides of the inequality by 3 to eliminate the fraction:
(y/3) * 3 ≥ -5 * 3
y ≥ -15
Step 2: Now we can graph the inequality y ≥ -15 on a number line.
- Draw a number line.
- Mark a closed circle at -15 (since the inequality is "greater than or equal to").
- Shade the line to the right of -15, indicating that y can take any value greater than or equal to -15.
The correct solution and graph for the inequality y/3 ≥ -5 is:
y ≥ -15
Graphically, it would look like this:
----●-------------------------->
where the filled-in circle represents -15, and the shaded area represents all values of y greater than or equal to -15.