Answer:
A,C,D, and k
Step-by-step explanation:
We are given that a coordinate grid plotted with points A(-5,4), point B(4,7), C(-2,7), D(-7,1),E(4,-2),F(1,-6),G(-3,-10),H(-4,-4),I(9,3) , J(7,-4) and K(2,3).


We have to find the points which are solutions of the given system of inequalities.
Substitute A (-5,4) in equations


Substitute the value of point B(4,7)

Point B does not satisfy the first inequality equation.
Now, substitute the value of point C(-2,7)


Now, substitute the value of point D(-7,1)


Now, substitute the value of point E(4,-2)


Point E satisfied the first inequality but it does not satisfied the second inequality.Therefore, it is not a solution of system of inequalities.
Now, substitute the value of point F(1,-6)


Point F satisfied the first inequality but it does not satisfied the second inequality.Therefore, it is not a solution of system of inequalities.
Now, substitute the value of point G (-3,-10)


Point G satisfied the first inequality but it does not satisfied the second inequality.Therefore, it is not a solution of system of inequalities.Now, substitute the value of point H(-4,-4)


Point H satisfied the first inequality but it does not satisfied the second inequality.Therefore, it is not a solution of system of inequalities.
Now, substitute the value of point I (9,3)


Point I satisfied the second inequality but it does not satisfied the first inequality.Therefore, it is not a solution of system of inequalities.
Now, substitute the value of point J(7,-4)


Point J satisfied the first inequality but it does not satisfied the second inequality.Therefore, it is not a solution of system of inequalities.
Now, substitute the value of point K(2,3)


Hence, the point A,C,Dand K are the solutions of given system of inequalities because these points satisfied both inequalities.