First, subtract #color(red)(17)# from each side of the inequality to isolate the #w# term while keeping the inequality balanced:
#5 - color(red)(17) <= (6w)/7 + 17 - color(red)(17)#
#-12 <= (6w)/7 + 0#
#-12 <= (6w)/7#
Now, multiply each side of the inequality by #color(red)(7)/color(blue)(6)# to solve for #w# while keeping the inequality balanced:
#color(red)(7)/color(blue)(6) xx -12 <= color(red)(7)/color(blue)(6) xx (6w)/7#
#color(red)(7)/cancel(color(blue)(6)) xx color(blue)(cancel(color(black)(-12)))-2 <= cancel(color(red)(7))/cancel(color(blue)(6)) xx (color(blue)(cancel(color(black)(6)))w)/color(red)(cancel(color(black)(7)))#
#-14 <= w#
To state the solution in terms of #w# we can reverse or "flip" the entire inequality:
#w >= -14#
