Question

There are no solutions to the system of inequalities shown belo

y<-2x+7
y > 3x + 1
A. True
B. False

Answer 1

False

Explanation:

Here's a simple little trick to tell wether a system of inequalities has any solutions or not, just by looking at it:

• If the slopes are the same but the y-intercepts are different, the system has no solutions.

• If the slopes are different, the system has only one solution.

• If the slopes are the same and the y-intercepts are the same, then the system has infinitely many solutions.

By following this logic, since the system given has different slopes, it only has one solution. Therefore your answer is false.

Hope this helps you.