Answer
(1,2),(1,1) can be the solutions, (0,0), (3, 1) cannot be the solutions.
Work Step by Step
Substitute each set of coordinates into the system of inequalities to see whether it can be a solution.
1) $0\leq5$
$0\geq3 \rightarrow $ cannot be a solution
2) $-1\leq5$
$4\geq3 \rightarrow $ can be a solution
3) $1\leq5$
$3\geq3 \rightarrow $ can be a solution
4) $7\leq5 \rightarrow $ cannot be a solution