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3 left parenthesis x space minus space 8 right parenthesis greater than negative 4 space plus space x

3 Left Parenthesis X Space Minus Space 8 Right Parenthesis Greater Than Negative 4 Space Plus Space X class=

Sagot :

Answer:

The solution of the given inequality

          x > 10

Step-by-step explanation:

Step(i):-

Given inequality  

                     3 ( x-8) > -4 + x

Multiply

                   3 x - 24 > -4 +x

subtract 'x' on both sides , we get

                 3 x - 24 - x > - 4 + x - x

        ⇒     2 x - 24 > - 4

Step(ii):-

Adding '2'4' on both sides , we get

        ⇒     2x - 24 + 24 > -4 +24

      ⇒     2 x > 20

Dividing '2' on both sides , we get

               [tex]\frac{2x}{2} > \frac{20}{2}[/tex]

                x > 10

Final answer:-

The solution of the given inequality

          x > 10

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