For how many ordered pairs of positive integers (x,y) is 2x+3y<6?

a. One
b. Two
c. Three
d Five
e Seven

3 answers

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?
The answer must be one. Thanks.
8