Evaluate: 3/7 b+(-1/12)>= 1/4

Expression: $\frac{3}{7}b+(-\frac{1}{12})\ge \frac{1}{4}$

Move $ (-\frac{1}{12}) $to the right side

$\frac{3}{7}b\ge \frac{1}{3}$

Multiply both sides by $7$

$7\cdot \frac{3}{7}b\ge \frac{1\cdot 7}{3}$

Simplify

$3b\ge \frac{7}{3}$

Divide both sides by $3$

$\frac{3b}{3}\ge \frac{\frac{7}{3}}{3}$

Simplify

$b\ge \frac{7}{9}$