Which of the following is a solution of the system x – 2y < 4 and y > – 2x – 5?
1. (1, -4)
2. (-8, 2)
3. (0,0)
4. (-3,0)

Option 3.

Step-by-step explanation:

The given inequalities are

If (a,b) is solution of given system of inequalities, then the above inequalities must be satisfy by the point (a,b).

For point (1,-4),

False

True

Since, first inequality is false for (1,-4) point, therefore (1,-4) is not the solution.

For point (-8,2),

True

False

Since, second inequality is false for (-8,2) point, therefore (-8,2) is not the solution.

For point (0,0),

True

True

Since, both of inequalities are true, therefore (0,0) is a the solution.

For point (-3,0),

True

False

Since, second inequality is false for (-3,0) point, therefore (-3,0) is not the solution.

Hence, option 3 is correct.