<h2>
Answer:</h2>
The point that lie in the solution set of the given system of inequalities is:
(0,0)
<h2>
Step-by-step explanation:</h2>
We are given a system of inequality as:
3x+y ≥ -3---------------(1)
and x+2y ≤ 4----------------(2)
From the given points we will check which satisfies both the inequality and hence the one which satisfies will be a solution.
a)
(5,0)
on putting in inequality (1) we get:
15≥ -3
and from inequality (2) we get:
5≤4
which is incorrect.
Hence, option: a is not a solution.
b)
(-2,0)
on putting in inequality (1) we get:
-6 ≥ -3
which is incorrect( since -6<-3)
Hence, option: b is incorrect.
c)
(0,3)
on putting in inequality (1) we get:
3 ≥ -3
which is true
on putting in inequality (2) we get:
6 ≤ 4
which is incorrect.
Hence, option: c is false.
d)
(0,0)
on putting in inequality (1) we get:
0 ≥ -3
which is a true expression.
on putting in inequality (2) we get:
0 ≤ 4
which is a true expression.
Hence, the point (0,0) will lie in the solution set.
