Which of the following ordered pairs cannot be used as a test point to determine which region to shade for $2 x + 7 y$ ? 4 ?
A) (-2, 0)
B) (0, 0)
C) $\left( - 2 , \frac { 8 } { 7 } \right)$
D) (2,1)

Question

Which of the following ordered pairs cannot be used as a test point to determine which region to shade for $2 x + 7 y$   ?   4 ?
A) (-2, 0)
B) (0, 0)
C) $\left( - 2 , \frac { 8 } { 7 } \right)$
D) (2,1)

Quizplus · Accepted Answer

To determine which region to shade for an inequality, we can plug a test point into the inequality and see if it is true or false. If it is true, then we shade the region that the test point is in. If it is false, then we shade the other region.

Let's plug in each of the given test points and see which ones work:

A) (-2,0) 
2(-2) + 7(0) = -4 < 4 (false)

B) (0,0) 
2(0) + 7(0) = 0 < 4 (false)

C) (-2,8/7) 
2(-2) + 7(8/7) = 4 (true)

D) (2,1)
2(2) + 7(1) = 11 > 4 (true)

Therefore, choices A, B, and D can be used as test points to determine which region to shade, but choice C cannot.

Which of the Following Ordered Pairs Cannot Be Used as a Test