Determine whether the ordered pair is a solution to the system of inequalities.
-$\begin{array} { l }
x + y

Question

Determine whether the ordered pair is a solution to the system of inequalities.
-$\begin{array} { l } 
x + y < - 2  ; (-3,5 )

\y \leq - 2 x - 5
\end{array}$

A) No
B) Yes

Quizplus · Accepted Answer

For the first inequality, substituting $x = -3$ and $y = 5$ gives $-3 + 5 = 2$, which is not less than $-2$, so the ordered pair does not satisfy the first inequality. For the second inequality, substituting $x = -3$ and $y = 5$ gives $5 \leq -2(-3) - 5 = 6 - 5 = 1$, which is true, but since the ordered pair does not satisfy both inequalities, it is not a solution to the system.

Determine Whether the Ordered Pair Is a Solution to the System