According to the Triangle Inequality Theorem, which set of lengths cannot form a triangle?

If the lengths of two sides of a triangle are $8$ and $15$, which of the following could be the length of the third side?

Which of the following sets of numbers can be the lengths of the sides of a triangle?

For a triangle with sides of lengths $a$, $b$, and $c$, if $a = 4$ and $b = 11$, what is the smallest possible integer value for $c$?

What is the largest possible integer value for the third side of a triangle if the other two sides measure $9$ inches and $5$ inches?

If the two shorter sides of a right-angled triangle are $6$ cm and $8$ cm, what is the length of the hypotenuse?

Given a triangle with side lengths of $10$, $15$, and $x$, for which of the following values of $x$ does the Triangle Inequality Theorem hold true?

If a triangle has side lengths of $3$ inches, $4$ inches, and $x$ inches, where $x$ is an integer, what is the largest possible value for $x$?

If a triangle has sides of lengths $13$ inches, $15$ inches, and $x$ inches, and $x$ is an integer, what is the smallest possible value for $x$?