Question

For each ordered pair (r, y), determine whether it is a solution to the inequality y≤ - 3.

(-6, 3)
(-3, -7)
(8, -5)
(4, -3)

Answer 1

To determine whether each ordered pair \((r, y)\) is a solution to the inequality \(y \leq -3\), we need to evaluate the value of \(y\) in each ordered pair:

1. For the pair \((-6, 3)\):
- \(y = 3\)
- Check: \(3 \leq -3\) (False)

2. For the pair \((-3, -7)\):
- \(y = -7\)
- Check: \(-7 \leq -3\) (True)

3. For the pair \((8, -5)\):
- \(y = -5\)
- Check: \(-5 \leq -3\) (True)

4. For the pair \((4, -3)\):
- \(y = -3\)
- Check: \(-3 \leq -3\) (True)

Now, let's summarize the results:
- The pair \((-6, 3)\) is **not** a solution.
- The pair \((-3, -7)\) **is** a solution.
- The pair \((8, -5)\) **is** a solution.
- The pair \((4, -3)\) **is** a solution.