Which one of the following is a solution of the system? x + y 8 (6, 9) (-2, 4) Infnitely Many Solutions No solution

Question

Which one of the following is a solution of the system?
x + y < -3 and x + y > 8

(6, 9)
		
(-2, 4)
		
Infnitely Many Solutions
		
No solution

mathstudent55 · Answer

Look at the two inequalities.
The left sides are the same.
x + y means the sum of two numbers.
Ok so far?

anonymous · Answer

Yes so then it would be no solution?

mathstudent55 · Answer

The sum of any two numbers is a number.
Now read each inequality and see if it makes sense for them to be together.

Remember, x + y is a number.

The first inequality states that the number x + y is less than -3.
The second inequality states that the number x + y is greater than 8.
Can a number be at the same time less than 3 and greater than 8?

mathstudent55 · Answer

You are correct.

anonymous · Answer

Thank you

mathstudent55 · Answer

You're welcome.