Answer:
The correct option is:
TRUE
Step-by-step explanation:
We have been given a system of inequalities:
2x + y < 5
2x - y < 3
We want to check if the origin is contained in the solution in this system of inequalities.
Substitute the origin (0,0) in both inequalities.
2(0) +0 < 5
0 < 5
Thus, the inequality holds true
2(0) - 0 < 3
0 < 3
Thus the inequality holds true.
As the origin (0,0) satisfied both of the inequalities, the origin is contained in the solution set of the system of inequalities
