Question

Which coordinates represent a point in the solution set of the system of inequalities shown below?

Answer 1

Answer: The coordinates that represent a point in the solution set of the system of inequalities shown below is ( -3, 10 )

Step-by-step explanation:

Let assume y = x + 13 ..... (1)

4x + 2y > 3

2y > - 4x + 3

y > -2x + 3/2

Substitutes y in equation 1 into the above equation

x + 13 > -2x + 3/2

x + 2x > 3/2 - 13

3x > (3 - 26)/2

x > -23/6

- 3 is greater than the value above.

Substitute -3 for x in equation 1

y = -3 + 13

y = 10

The coordinates that represent a point in the solution set of the system of inequalities given above can be ( -3, 10)