Answer:
[tex]x > \frac{10}{7} [/tex]
Step-by-step explanation:
[tex]6x + \frac{1}{4} (4x + 8) > 12[/tex]
Expand the terms in the bracket
That's
[tex]6x + x + 2 > 12 \\ 7x + 2 > 12[/tex]
Subtract 2 from both sides of the inequality
That's
[tex]7x + 2 - 2 > 12 - 2 \\ 7x > 10[/tex]
Divide both sides by 7
That's
[tex] \frac{7x}{7} > \frac{10}{7} [/tex]
We have the final answer as
[tex]x > \frac{10}{7} [/tex]
Hope this helps you
