Question

Direction: Determine whether each ordered pairis a solution to the given inequality

Answer 1

Answer:

Step-by-step explanation:

1).b).  2x - 3y > 5

   For (2, 1),

   2(2) - 3(1) > 5

    1 > 5

    False.

   So the answer is NO.

c). For (6, 2),

    2(6) - 3(2) > 5

    12 - 6 > 5

    6 > 5

    True.

    Therefore, the answer is YES.

2). a). 3y + x ≤ 12

    For (3, -2),

    3(-2) + 3 ≤ 12

    -6 + 3 ≤ 12

     -3 ≤ 12

     True.

     Therefore, answer is YES.

b). For (4, 6),

    3(6) + 4 ≤ 12

     18 + 4 ≤ 12

     22 ≤ 12

     False.

     Therefore, answer is NO.

c). For (-1, -2),

    3(-2) + (-1) ≤ 12

     -6 - 1 ≤ 12

     -7 ≤ 12

     True.

     Therefore, answer is YES.

3). a). y < 3x - 15

      For (5, -3),

      -3 < 3(5) - 15

      -3 < 0

       True.

      Therefore, answer is YES.

 b). For (7, 5),

      5 < 3(7) - 5

      5 < 21 - 5

      5 < 16

      True.

      Therefore, answer is YES.

  c). For (3, -5),

       -5 < 3(3) - 5

       -5 < 9 - 5

       -5 < 4

        True.

       Therefore, answer is YES.