Question

Is (6,2) a solution to x+5y<16 x<8

Answer 1

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

Explanation:

we know that

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

we have the system

`x+5y < 16` ----> inequality A

`x< 8` ----> inequality B

substitute the value of x and the value of y of the ordered pair in each inequality

ordered pair (6,2)

Verify inequality A

For x=6, y=2

`6+5(2) < 16`

`16 < 16` ----> is not true

so

The ordered pair not satisfy the inequality A

therefore

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