Question

-4x+13+7x>=14-10

Answer 1

-4x + 13 + 7x ≥ 14 - 10

        3x + 13 ≥    4

               3x  ≥  -9

               x  ≥  -3

Answer 2

The answer is:     "   x   ≥   - 3  "  .

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Explanation:

To solve:

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→   Given the inequality:

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       →     "    - 4x  +  13  +  7x   ≥  14 − 10  "  ;   Solve for "x" .

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 →  On the "left-hand side" of the "inequality" ;

       → Combine the "like terms" ;  as follows:  

            →    - 4x  +  7x   =   +  3x  ;

            →  and bring down the:  " + 13 "  ;

        to write as:  " 3x  +  13 " .

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→  On the "right-hand side" of the "inequality":

     →  Simplify:  " 14 − 10 = 4 " .

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 →  Rewrite the entire "inequality" ; as follows:

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 →    "   3x   +   13    ≥   4 "  ;

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Now, subtract "13" from EACH SIDE of the  "inequality" ;  as follows:

 →    3x  +  13  −  13    ≥   4  − 13  ;

to get:

          →    3x   ≥  - 9   ;

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 →   Now, divide EACH SIDE of the "inequality" by " 3 " ;

          to isolate "x" on one side of the "inequality" ;  

           & to solve — (in terms of "x") — as follows:

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          →      3x  / 3      ≥     - 9  /  3   ;

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to get:

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                     →       " x    ≥   - 3  "      ;

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The answer is:     "   x   ≥   - 3 "   .

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Hope this helps!      

Best wishes in your academic endeavors —

      and within the "Brainly" community! _________________________________________