Question

Is (1, 3) a solution to the system of inequalities below?

y> 2x + 1
y <-3x
Why or why not?

Answer 1

Substitute and Check:

`y > 2x + 1 \\ 3 > 2(1) + 1 \\ 3 > 3 \\ false`

We can stop here and conclude that ( 1 , 3 ) is not a solution to this system, since it does not even satisfy the first equation, but check for the other one just in case:

`y < - 3x \\ 3 < - 3(1) \\3 < - 3 \\ also \: false`