Answer:
A. [tex] x > \dfrac{7}{3} [/tex]
Step-by-step explanation:
[tex] 8(\dfrac{1}{2} x - \dfrac{1}{4}) > 12 - 2x [/tex]
Distribute the 8 on the left side.
[tex] 4x - 2 > 12 - 2x [/tex]
Add 2x to both sides. Add 2 to both sides.
[tex] 6x > 14 [/tex]
Divide both sides by 6.
[tex] x > \dfrac{14}{6} [/tex]
Reduce 14/6 by dividing the numerator and denominator by 2.
[tex] x > \dfrac{7}{3} [/tex]
