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:

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

$0 + 75w < 350$

$75w < 350$

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

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

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

$w < 14/3$

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