In the xy-plane, triangular region R is bounded by the lines x=0, y=0, and 4x+3y=60. Which of the following points lie inside region R?

A. (2, 18)
B. (5, 12)
C. (10, 7)
D. (12, 3)
E. (15, 2)

Question

In the xy-plane, triangular region R is bounded by the lines x=0, y=0, and 4x+3y=60. Which of the following points lie inside region R? 

A. (2, 18)
B. (5, 12)
C. (10, 7)
D. (12, 3)
E. (15, 2)

solomonzelman · Answer

being bounded by x=0 and y=0, your coordintaes all automatically have to be equal to 0 or greater (but, they can never be negative).

Then, the other boundry is 4x+3y=60,

solomonzelman · Answer

So, you are finding out which of the choice is a solution to 4x+3y≤60

solomonzelman · Answer

plug in your points and tell me which one satisfies this equation