Respuesta :

Answer:

The correct option is C. 3

Therefore the value of x in the solution set of

[tex]8x-6 > 12+2x[/tex]

is

[tex]x>3[/tex]

Step-by-step explanation:

Given:

[tex]8x-6 > 12+2x[/tex]

To Find:

x = ?

Solution:

[tex]8x-6 > 12+2x[/tex]       .......Given:

Step 1 : Add '6' on Both the side we get

[tex]8x-6+6 > 12+2x+6\\8x > 18+2x[/tex]

Step 2 : Subtract '2x' from Both the side we get

[tex]8x-2x > 18+2x-2x\\6x > 18[/tex]

Step 3 : Dividing by '6 on Both the side we get

[tex]\dfrac{6x}{6} >\dfrac{18}{6}\\\\x > 3[/tex]

Therefore the value of x in the solution set of

[tex]8x-6 > 12+2x[/tex]

is

[tex]x>3[/tex]

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