The origin is contained in the solution set for the following system of inequalities: 2x + y < 5
2x - y< 3
Select one:
O True
O False

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

the answer will be