Question

Tell whether the ordered pair (8, -2) is a solution of the system of linear inequalities:

y < 2x + 5
y - 4 < -2
a) Yes
b) No

Answer 1

The ordered pair (8, -2) is not a solution of the system of linear inequalities.

Step-by-step explanation:

To determine whether the ordered pair (8, -2) is a solution of the system of linear inequalities, we need to check if it satisfies both inequalities.

1. First inequality: y < 2x + 5

   Substituting the values: -2 < 2(8) + 5

   -2 < 16 + 5

   -2 < 21

   This is true.

2. Second inequality: 2x + 5y - 4 < -2

   Substituting the values: 2(8) + 5(-2) - 4 < -2

   16 - 10 - 4 < -2

   2 < -2

   This is false.

Since the second inequality is false, the ordered pair (8, -2) is not a solution of the system of linear inequalities.