Question

30b+53≥18b−83 solve for b

Answer 1

Question:

solve the following in equation.

$30b + 53 \geqslant 18b - 83$

Solution:

$30b + 53 \geqslant 18b - 83 \\ \\ 30b - 18b \geqslant - 83 - 53 \\ \\ 12b \geqslant - 136 \\ \\ b \geqslant \frac{ - 136}{12} \\ \\ b \geqslant \frac{ - 68}{6} \\ \\ b \geqslant \frac{ - 34}{3}$

$b = ( - \infty , \: \frac{ - 34}{3} ]$