Question

For how many ordered pairs of positive integers (x,y) is 2x+3y<6?
a. One
b. Two
c. Three
d Five
e Seven

Answer 1

for 2x+3y=6, the x-intercept is 3, and the y-intercept is 2.
draw the line
you want the region below this line, bounded by the x and y axes.

How many whole number grid points do you see in that region?

Answer 2

The answer must be one. Thanks.

Answer 3

8