Question

Solve the inequality.

Answer 1

Answer:

$\huge x > \frac{7}{3}$

Step-by-step explanation:

$8( \frac{1}{2} x - \frac{1}{4} ) > 12 - 2x$

Expand the terms in the bracket

That's

$8( \frac{1}{2} x) - 8( \frac{1}{4} ) > 12 - 2x \\ 4x - 2 > 12 - 2x$

Move -2x to the other side of the inequality

$4x + 2x - 2 > 12 \\ 6x - 2 > 12$

Move - 2 to the other side of the inequality

$6x > 12 + 2 \\ 6x > 14$

Divide both sides by 6

$\frac{6x}{6} > \frac{14}{6}$

We have the final answer as

$x > \frac{7}{3}$

Hope this helps you