Question

Determine whether (-3, 3) is a solution of each system.

-2x ≤ 1
-2x < -2

Option 1: (-3, 3) is a solution to the system.
Option 2: (-3, 3) is not a solution to the system.
Option 3: Insufficient information to determine.
Option 4: The system is inconsistent.

Answer 1

After substituting -3 for x in both inequalities of the system and finding that neither of the resulting statements is true, we can conclude that (-3, 3) is not a solution to the system.

Step-by-step explanation:

To determine whether the point (-3, 3) is a solution to the given system of inequalities, we need to substitute -3 for x in each inequality and check if the resulting statements are true. -2x ≤ 1 becomes -2(-3) ≤ 1, which simplifies to 6 ≤ 1. This is false. -2x < -2 becomes -2(-3) < -2, which simplifies to 6 < -2. This is also false. Since (-3, 3) does not satisfy both inequalities, it is not a solution to the system. Option 2: (-3, 3) is not a solution to the system. is the correct choice.