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sladkih [1.3K]
4 years ago
7

Need help can someone plz help me solved this problem ASAP! Need help I will mark you as brainiest

Mathematics
1 answer:
MrRissso [65]4 years ago
5 0

Answer:  2, 6

<u>Step-by-step explanation:</u>

Triangle Inequality Theorem states that the sum of two sides must be GREATER than the third side.

RS + ST > RT    and     RS + RT > ST     and     ST + RT > RS

2x + 4x > 12                  2x + 12 > 4x                  4x + 12  > 2x

       6x > 12                          12 > 2x                          12  > -2x

         x > 2                            6 > x                             -6 < x

         2 < x                             x < 6                             invalid

Answer:  2 < x < 6      

Graph:     O----------------------O

                2                          6

<em> Note: -6 is invalid because you cannot have a negative length. </em>                     

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