Determine if the ordered pair $( 18,0 )$ is a solution of the system of linear inequalities $\left\{ \begin{array} { l }
3 x - y 4 \
x + 6 y \leq 9
\end{array} \right.$ .
A)not a solution
B)solution

Question

Determine if the ordered pair $( 18,0 )$ is a solution of the system of linear inequalities $\left\{ \begin{array} { l } 
3 x - y > 4 \
x + 6 y \leq 9
\end{array} \right.$ .
A)not a solution
B)solution

Quizplus · Accepted Answer

For the first inequality, plugging in the values $(18,0)$, we get: 
$3(18)-0>4$ which simplifies to $54>4$ 
This is true!

For the second inequality, plugging in the values $(18,0)$, we get:
$18+6(0) \leq 9$ which simplifies to $18 \leq 9$
This is false!

So the ordered pair $(18,0)$ does not satisfy the system of linear inequalities and is not a solution. Therefore, the answer is choice A.

Determine If the Ordered Pair (18,0)( 18,0 )(18,0) Is a Solution of the System of Linear Inequalities

Determine If the Ordered Pair $( 18,0 )$ Is a Solution of the System of Linear Inequalities