Answer:
The ordered pair is not a solution of the system of inequalities
Step-by-step 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
[tex]x+5y < 16[/tex] ----> inequality A
[tex]x< 8[/tex] ----> 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
[tex]6+5(2) < 16[/tex]
[tex]16 < 16[/tex] ----> 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
