The solutions to the inequalities 0 lessthanorequalto x less

The solutions to the inequalities 0 lessthanorequalto x lessthanorequalto 2, 0 lessthanorequalto y lessthanorequalto 1, and y lessthanorequalto - 1/2x + 3/2 form a polygonal region in the plane. How many sides does this polygon have? 2 3 4 5 6

Solution

B. 3

One side formed by the x axis for the inequality

0<x<2

One side formed by the y axis for the inequality

0<y<1

And other third side formed by the line

y=-x/2+3/2