Question

Determine whether each ordered pair is a solution to the inequality -6x + 2y < -5.

1) (3,2)
2) (5,-5)
3) (-8,4)
4) (-8,6)
5) (4,-8)

Answer 1

After substituting the ordered pairs into the inequality -6x + 2y < -5, we found that (3,2), (5,-5), and (4,-8) are solutions, while (-8,4) and (-8,6) are not.

Step-by-step explanation:

To determine whether each ordered pair is a solution to the inequality -6x + 2y < -5, we substitute the values of x and y from the ordered pairs into the inequality:

1. For the ordered pair (3,2), we check if -6(3) + 2(2) < -5: -18 + 4 < -5 which simplifies to -14 < -5. This is true, so (3,2) is a solution.
2. For the ordered pair (5,-5), we check if -6(5) + 2(-5) < -5: -30 - 10 < -5 which simplifies to -40 < -5. This is true, so (5,-5) is a solution.
3. For the ordered pair (-8,4), we check if -6(-8) + 2(4) < -5: 48 + 8 < -5 which simplifies to 56 < -5. This is false, so (-8,4) is not a solution.
4. For the ordered pair (-8,6), we check if -6(-8) + 2(6) < -5: 48 + 12 < -5 which simplifies to 60 < -5. This is false, so (-8,6) is not a solution.
5. For the ordered pair (4,-8), we check if -6(4) + 2(-8) < -5: -24 - 16 < -5 which simplifies to -40 < -5. This is true, so (4,-8) is a solution.