Question

Determine which of the points below would be in the solution region of the system of inequalities.

1.4x + 7y =21 and 10x - 2y =16
a) (4,1)
b) (2, 2)
c) (1,2)
d) (5,2)

Answer 1

To determine which points are in the solution region of the system of inequalities, convert the given equations into inequalities and substitute the x and y values of each point to see if they satisfy the inequalities.

Step-by-step explanation:

The task is to determine which points satisfy the system of inequalities represented by the given equations. First, we need to convert the equations into inequalities. The equations are 1.4x + 7y = 21 and 10x - 2y = 16. Since the equations are currently equal, we must decide on the proper inequality symbols (e.g., <, >, ≤, ≥) based on the context of the question, which is not provided. However, for illustration, if we assume both are ≥:

• 1.4x + 7y ≥ 21
• 10x - 2y ≥ 16

Next, test each point by substituting the x and y values into both inequalities.