Determine whether the given set of vectors is closed under addition and closed under scalar multiplication. in this case, take the set of scalars to be the set of all real numbers. the set of all rational numbers.

Use the triangle inequality theorem and examine all 3 combinations of the sides ... Find all possible lengths of the third side. Show Answer. difference < x < sum 7 - 2 < x < 7+2 Answer: 5 < x < 9. Problem 7. Two sides of a triangle have lengths 12 and 5. Find all possible lengths of the third side. Show Answer. difference < x < sum 12 - 5 < x ...