Question

1 which ordered pair is a solution to the system of inequalities shown?
$4x + y > 3$
$x - y \leq 2$
a) (5, 1) the train station
b) (-1, -4) the post office
c) (-2, 0) the courthouse
d) (8, -3) the aquarium
e) (4, 7) the airport

Explanation:

Step1: Test option A (5,1)

First inequality: $4(5)+1=21>3$ (true). Second inequality: $5-1=4≤2$ (false). Reject A.

Step2: Test option B (-1,-4)

First inequality: $4(-1)+(-4)=-8>3$ (false). Reject B.

Step3: Test option C (-2,0)

First inequality: $4(-2)+0=-8>3$ (false). Reject C.

Step4: Test option D (8,-3)

First inequality: $4(8)+(-3)=29>3$ (true). Second inequality: $8-(-3)=11≤2$ (false). Reject D.

Step5: Test option E (4,7)

First inequality: $4(4)+7=23>3$ (true). Second inequality: $4-7=-3≤2$ (true). Accept E.

Answer:

E) (4, 7) the airport