Question

Solve for x: 6x + 1 over 4 (4x + 8) > 12

x > 10 over 7

x > 2

x < 10 over 7

x < 2

Answer 1

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

Explanation:

We have been given an inequality
`6x+(1)/(4)(4x+8)>12`. We are asked to solve the given inequality for x.

Using distributive property, we will get:

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

`6x+x+2>12`

`7x+2>12`

Subtract 2 from both sides:

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

`7x>10`

Divide both sides by 7:

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

`x>(10)/(7)`

Therefore, option A is the correct choice.