Answer:
[tex] \huge x > \frac{7}{3} \\ [/tex]
Step-by-step explanation:
[tex]8( \frac{1}{2} x - \frac{1}{4} ) > 12 - 2x \\ [/tex]
Expand the terms in the bracket
That's
[tex]8( \frac{1}{2} x) - 8( \frac{1}{4} ) > 12 - 2x \\ 4x - 2 > 12 - 2x[/tex]
Move -2x to the other side of the inequality
[tex]4x + 2x - 2 > 12 \\ 6x - 2 > 12[/tex]
Move - 2 to the other side of the inequality
[tex]6x > 12 + 2 \\ 6x > 14[/tex]
Divide both sides by 6
[tex] \frac{6x}{6} > \frac{14}{6} \\ [/tex]
We have the final answer as
[tex]x > \frac{7}{3} \\ [/tex]
Hope this helps you
