How do you solve #-6+ 9m > 174#?

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Answer 1 · 2017-03-18T23:28:35

See the entire solution process below:

First, add #color(red)(6)# to each side of the inequality to isolate the #m# term while keeping the inequality balanced:

#color(red)(6) - 6 + 9m > color(red)(6) + 174#

#0 + 9m > 180#

#9m > 180#

Now, divide each side of the inequality by #color(red)(9)# to solve for #m# while keeping the inequality balanced:

#(9m)/color(red)(9) > 180/color(red)(9)#

#(color(red)(cancel(color(black)(9)))m)/cancel(color(red)(9)) > 20#

#m > 20#