Answer
I $(-1,-4)$.
Work Step by Step
The given inequality is
$3x-y<20$.
Substitute $(x,y)=(7,1)$ into the inequality.
$3(7)-(1)<20$
Simplify.
$21-1<20$
$20<20$ not true.
Substitute $(x,y)=(8,0)$ into the inequality.
$3(8)-(0)<20$
Simplify.
$24<20$ not true.
Substitute $(x,y)=(5,-6)$ into the inequality.
$3(5)-(-6)<20$
Simplify.
$15+6<20$
$21<20$ not true.
Substitute $(x,y)=(-1,-4)$ into the inequality.
$3(-1)-(-4)<20$
Simplify.
$-3+4<20$
$1<20$ True.
Hence, the correct ordered pair is I $(-1,-4)$.
