Question

Which ordered pair is a solution to the system of inequalities?

look at the picture for the inequalities and solution

Answer 1

(1,3)

Explanation:

we have

`y> -2` -----> inequality A

`x+y \leq 4` -----> inequality B

Remember that

If a ordered pair is a solution of the system of inequalities, then the ordered pair must satisfy both inequality of the system

Verify each ordered pair

case 1) we have

(-2,-3)

Verify inequality A

`-3> -2` -----> is not true

therefore

The ordered pair is not a solution of the system of inequalities

case 2) we have

(0,-4)

Verify inequality A

`-4> -2` -----> is not true

therefore

The ordered pair is not a solution of the system of inequalities

case 3) we have

(1,3)

Verify inequality A

`3> -2` -----> is true

Verify inequality B

`1+3 \leq 4`

`4 \leq 4` -----> is true

therefore

The ordered pair is a solution of the system of inequalities

case 4) we have

(1,5)

Verify inequality A

`5> -2` -----> is true

Verify inequality B

`1+5 \leq 4`

`6 \leq 4` -----> is not true

therefore

The ordered pair is not a solution of the system of inequalities