Question

Which system of inequalities has no solution?
Answer

y > -1/2x + 3
y > -1/2x – 1

y > -1/2x + 3
y < -1/2x – 1

y < -1/2x + 3
y > -1/2x – 1

y < -1/2x + 3
y < -1/2x – 1

Answer 1

help please

Answer 2

The 2nd one !

The system is :
\[y > -\frac12x + 3\\
y < -\frac12x – 1\]
Then : by multiplying the 1st inequality by -1 we get :

\[
-y<+\frac12-3\\
y < -\frac12x – 1
\]
By adding the two inequality we get :
\[
0<-4
\]
which is impossible !