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.

In all honesty, there really is no “work” per say to show. mainly it’s just using the process of elimination. the question is asking which domain(s) would be the most appropriate for the function c(n). n is the number of observed vehicles so right away, 1, 2, and 3 can be eliminated.why? 1, 2 start in the negatives and therefore it is impossible to observe negative cars. so, #4 would be the best answer to the given problem.