penyelesaian dari 1/2 ( x - 4 ) < 4 + 4/5 x adalah. A. x < -20 C. x < 20 B. x >-20 D. x > 20

[tex] \frac{1}{2} (x - 4) < 4 + \frac{4}{5} x \\ \frac{1}{2} x - \frac{4}{2} < \frac{20}{5} + \frac{4}{5} x \\ 5x - 20 < 40 + 8x \\ 5x - 8x > 40 + 20 \\ - 3x > 60 \\ x >\frac{60}{ - 3} \\ x > - 20[/tex]

1/2 (x - 4) < 4 + 4/5 x

=> 1/2 x - 2 < 4 + 4/5 x

=> 1/2 x - 4/5 x < 4 + 2

=> 5/10 x - 8/10 x < 6

=> -3/10 x < 6

=> x > 6 : (-3/10)

=> x > 6 × (-10/3)

=> x > -20 (B)