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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)

1 answer

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.