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UkoKoshka [18]
3 years ago
15

Which of the following would be a possible solution to the system of inequalities given below?

Mathematics
1 answer:
Nataly [62]3 years ago
5 0

Answer:

(0,5)

Step-by-step explanation:

we have

2x+3y > 12 ----> inequality A

x-y\leq 1 ----> inequality B

we know that

If a ordered pair is a solution of the system of inequalities, then the ordered pair must satisfy both inequalities of the system (makes true both inequalities)

Verify each ordered pair

Substitute the value of x and the value of y of each ordered pair in the inequality A and in the inequality B and then compare the results

case 1) (0,5)

For x=0,y=5

<em>Inequality A</em>

2(0)+3(5) > 12

15 > 12 ----> is true

so

The ordered pair satisfy inequality A

<em>Inequality B</em>

0-5\leq 1

-5\leq 1 ---> is true

so

The ordered pair satisfy inequality B

therefore

The ordered pair would be a solution of the system

case 2) (5,2)

For x=5,y=2

<em>Inequality A</em>

2(5)+3(2) > 12

16 > 12 ----> is true

so

The ordered pair satisfy inequality A

<em>Inequality B</em>

5-2\leq 1

3\leq 1 ---> is not true

so

The ordered pair not satisfy inequality B

therefore

The ordered pair is not a solution of the system

case 3) (0,4)

For x=0,y=4

<em>Inequality A</em>

2(0)+3(4) > 12

12 > 12 ----> is not true

so

The ordered pair not satisfy inequality A

therefore

The ordered pair is not a solution of the system

case 4) (6,0)

For x=6,y=0

<em>Inequality A</em>

2(6)+3(0) > 12

12 > 12 ----> is not true

so

The ordered pair not satisfy inequality A

therefore

The ordered pair is not a solution of the system

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