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

6 meters

step-by-step explanation:

answer: 5

step-by-step explanation:

since, the range is the difference between the lowest and highest values of the given sample space.

and, here the sample space = { 3, 1, 0, 4, 1, 4, 2, 3, 0, 5, 0, 1, 1, 2, 0, 4, 1,4, 4 ,2 ,3 ,2 ,0 ,1 ,4 }

here, the highest value of the given sample = 5

and, the lowest value = 0

therefore, the range of the sample space = 5 - 0 = 5