Determine which one of the ordered pairs below is a solution of the system of linear inequalities. $$\left\{ \begin{array} { c }
x - 3 \
y - 1 \
y \leq 4 - \frac { 2 x } { 3 }
\end{array} \right.$$
A)(-2, 2)
B)(3, -3)
C)(-5, -9)
D)(4, -7)
E)(9, 8)

Question

Determine which one of the ordered pairs below is a solution of the system of linear inequalities.  $$\left\{ \begin{array} { c } 
x > - 3 \
y > - 1 \
y \leq 4 - \frac { 2 x } { 3 }
\end{array} \right.$$  
A)(-2, 2)
B)(3, -3)
C)(-5, -9)
D)(4, -7)
E)(9, 8)

Quizplus · Accepted Answer

For the ordered pair (-2, 2) to be a solution, it must satisfy all three inequalities:1. $x > -3$: True, since $-2 > -3$.2. $y > -1$: True, since $2 > -1$.3. $y \leq 4 - \frac{2x}{3}$: Substituting $x = -2$, we get $y \leq 4 - \frac{2(-2)}{3} = 4 + \frac{4}{3} = \frac{16}{3}$, which is true since $2 \leq \frac{16}{3}$.The other options do not satisfy all three inequalities when tested similarly.

Determine Which One of the Ordered Pairs Below Is a Solution