Respuesta :

Answer:

3 < x < 11

Step-by-step explanation:

triangle inequality theorem states that the sum of any two sides of a triangle must be greater than the third side

if 'x' is the third side then:

x + 4 > 7

7 + 4 > x

therefore,  'x' must be greater than 3 and less than 11

The value of the third side should be < 11 so, it cannot be 11, the correct option is C.

What is a Triangle?

A triangle is a polygon with three sides, three vertices and three angles.

The two sides of a triangle are  4 and 7

According to the property of sides of a triangle, The measure of the third side of a triangle is always less than the sum of the two sides.

The sum of the sides is 4+7 = 11

Let the third side be x

then,

x < 11

The x cannot be 11.

The missing options are

A. 4

B. 7

C. 11

D. 5

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