Question

Solve for x: 6x + 1/4 (4x + 3) > 12

Ox>
10
7
Ox> 2
ox= 10
X = 2

Answer 1

Given:

The inequality is:

`6x+(1)/(4)(4x+3)>12`

To find:

The values for x.

Solution:

We have,

`6x+(1)/(4)(4x+3)>12`

Using distributive property, we get

`6x+(1)/(4)(4x)+(1)/(4)(3)>12`

`6x+x+(3)/(4)>12`

`7x>12-(3)/(4)`

`7x>(48-3)/(4)`

On further simplification, we get

`7x>(45)/(4)`

Divide both sides by 7.

`x>(45)/(7* 4)`

`x>(45)/(28)`

Therefore, the required solution is
`x>(45)/(28)`.

Note: All options are incorrect.