Triangles Question

Question

The lengths of two sides of a triangle are 15 cm and 8 cm. Two inequalities about the length of the third side, x, of the triangle are shown.

Inequality I: x<15+8

Inequality II: x>15−8

Which statement about the inequalities is true?

Responses

1. Only Inequality I is true.
2. Only Inequality II is true.
3. Both Inequality I and Inequality II are true.
4. Neither Inequality I nor Inequality II is true.

Answer 1

Both inequalities must be true.

Answer 2

The sum of length 2 sides of any triangle must exceed the length of the 3rd side!