Answer:
A. [tex]x>\frac{10}{7}[/tex].
Step-by-step explanation:
We have been given an inequality [tex]6x+\frac{1}{4}(4x+8)>12[/tex]. We are asked to solve the given inequality for x.
Using distributive property, we will get:
[tex]6x+\frac{1}{4}*4x+\frac{1}{4}*8>12[/tex]
[tex]6x+x+2>12[/tex]
[tex]7x+2>12[/tex]
Subtract 2 from both sides:
[tex]7x+2-2>12-2[/tex]
[tex]7x>10[/tex]
Divide both sides by 7:
[tex]\frac{7x}{7}>\frac{10}{7}[/tex]
[tex]x>\frac{10}{7}[/tex]
Therefore, option A is the correct choice.
