What is the reason for each step in the solution of the inequality? 4−3(x−5)> 6x−17 select the reason for each step from the drop-down menus.

By solving the given inequality, we get the value of "x < 4".

The given inequality is:

By solving the bracket, we get

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→        

By adding "17" both sides, we get

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→        

By adding "3x" both sides, we get

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→                  

→                    

→                    

Thus the above solution is right.

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4 - 3(x - 5) > 6x - 17

4 - 3x + 15 > 6x - 17       distributed -3 on the left side

   -3x + 19 > 6x - 17       simplified/added like terms (4 and 15)

   -9x + 19 >      -17        subtracted 6x from both sides

    -9x       >      -36        subtracted 19 from both sides

       x       <        4          divided -9 from both sides (NOTE THE SIGN CHANGE)

the correct answer is x/3+10≥32

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step-by-step explanation: