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ISEE Lower Level
Mathematics Achievement

Triangle Inequality Theorem - Sides Validation

Hard Geometry Shapes And Properties

In a triangle, the lengths of the sides are represented by the expressions $x + 3$, $2x - 1$, and $4x - 5$. For these lengths to form a valid triangle, they must satisfy the triangle inequality theorem. According to this theorem, the sum of the lengths of any two sides must be greater than the length of the third side. Which of the following statements guarantees that these lengths can form a triangle?

Hint

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