Answer
(-1,-2) - Yes, (1,-2) - Yes, (1, 2) - No, (8,1) - No.
Work Step by Step
For the inequality, plug in each set of coordinates to see if it satisfies the inequality.
$-1-5(-2)\gt3$
$-1+10\gt3$
$9\gt3$ Yes.
$1-5(-2)\gt3$
$1+10\gt3$
$11\gt3$ Yes.
$1-5(2)\gt3$
$1-10\gt3$
$-9\gt3$ No.
$8-5(1)\gt3$
$8-5\gt3$
$3\gt3$ No. Had it been a $\geq$ sign, the point would have been satisfactory.