Question

Which is true about the solution to the system of inequalities shown? y > 3x + 1 y < 3x – 3

Only values that satisfy y > 3x + 1 are solutions.
Only values that satisfy y < 3x – 3 are solutions.
Values that satisfy either y > 3x + 1 or y < 3x – 3 are solutions.
There are no solutions.

Answer 1

Answer: Option D

(D) There are no solutions. <======+ 100%

Which is true about the solution to the system of inequalities shown?

y > 3x + 1

y < 3x – 3

Explanation:

Answer 2

The system is:

(1) y > 3x + 1

(2) y < 3x - 3


The answer is that there are no solutions.


To find the solutions of a systema of inequalities you graph each inequality.


The solutions of the first inequality, y > 3x + 1 , is the area above the line y = 3x - 1.


The solutions of the second inequality, y < 3x - 3, is the area below the line y = 3x - 3.


Given that the two lines are parallel (same slope, 3) and that the second is below the first one, there are no common solutions, then, as already stated, there are no solutions to the system.