The solutions to the inequalities 0≤x≤2,0≤y≤1, and y≤−12x+32 form a polygonal region in the plane. How many sides does this polygon have?

Question

The solutions to the inequalities  0≤x≤2,0≤y≤1, and y≤−12x+32  form a polygonal region in the plane. How many sides does this polygon have?

tkhunny · Answer

Have you considered graphing the lines?
Having you considered finding their intersections?

anonymous · Answer

i graphed the lines and i figured it was three but the correct answer is f
ive. i just dont know how to get 5

tkhunny · Answer

Are you forgetting the x-axis and the y-axis?  It's not a closed polygon without those.

anonymous · Answer

yeah i included them

tkhunny · Answer

That does not make sense.

You should have
x = 0
x - 2
y = 1
y = 0
That's four.  Now add the last line and it should cut off a corner and make the 5th side.

anonymous · Answer

got it! thank you

tkhunny · Answer

Good work!