Question

Please help it’s important i’ll give prize

Answer 1

`\textsf{A)} \quad x > (10)/(7)`

Explanation:

Given inequality:

`6x+(1)/(4)(4x+8) > 12`

Distribute the 1/4 to the terms inside the parentheses:

`6x+(1)/(4)(4x)+(1)/(4)(8) > 12`

`6x+x+2 > 12`

Combine like terms on the left side of the equation:

`7x+2 > 12`

Subtract 2 from both sides of the equation:

`7x+2-2 > 12-2`

`7x > 10`

Divide both sides by 7:

`(7x)/(7) > (10)/(7)`

`x > (10)/(7)`

Therefore, the solution of the given inequality is:

`\large\boxed{\boxed{x > (10)/(7)}}`