Question

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

y < 2x + 5
y - 4 ≥ -1
y < 2x - 2
a)yes
b)no

Answer 1

The ordered pair (8, -2) is not a solution to the system of linear inequalities because it does not satisfy both inequalities when substituted into them.

Step-by-step explanation:

The student has asked to determine if the ordered pair (8, -2) is a solution to the given system of linear inequalities. To verify this, we need to check if the coordinates of the ordered pair satisfy both inequalities when substituted into them.

First inequality: y < 2x + 5.
Checking the ordered pair (8, -2): -2 < 2(8) + 5, which simplifies to -2 < 21. This is true.

Second inequality: y ≥ -1.
Checking the ordered pair (8, -2): -2 ≥ -1. This is false because -2 is not greater than or equal to -1.

Since the ordered pair (8, -2) does not satisfy both inequalities, it is not a solution to the system of linear inequalities.