How do you solve #-150+ 75w < 200#?

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Answer 1 · 2018-01-31T19:55:52

See a solution process below:

First, add #color(red)(150)# to each side of the inequality to isolate the #w# term while keeping the inequality balanced:

#-150 + color(red)(150) + 75w < 200 + color(red)(150)#

#0 + 75w < 350#

#75w < 350#

#(75w)/color(red)(75) < 350/color(red)(75)#

#(color(red)(cancel(color(black)(75)))w)/cancel(color(red)(75)) < (25 xx 14)/color(red)(25 xx 3)#

#w < (color(red)(cancel(color(black)(25))) xx 14)/color(red)(color(black)(cancel(color(red)(25))) xx 3)#

#w < 14/3#