Is it possible to draw a triangle with sides 6 inches, 4 inches, and 2 inches. if not, why?

According to the Triangle Inequality Theorem any two sides of a triangle must be greater than the third side.

a+b>c

b+c>a

c+a>b

So let's say that 2=a 4=b and 6=c.

2+4>6 is incorrect because 6 is not greater than 6

4+6>2 is correct because 10 is greater than 2

2+6>4 is correct because 8 is greater than 4

All three must be true for you to be able to draw the triangle. So no you cannot draw a triangle with the sides 6, 4, and 2.