Two sides of a triangle have lengths 4 and 10. If the third side has a length of integer x, how many possible values are there for x?

5

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6

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7

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2

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Solution

The correct option is C $7$
Seven : If two sides of a triangle are 4 and 10, the third side must be greater than 10 -4 and smaller than 10 + 4. Therefore, the possible values for x are {7, 8, 9, 10, 11, 12, and 13}.

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