How do you solve #41> 6m - 7#?

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Answer 1 · 2018-02-01T13:57:32

See a solution process below:

First, add #color(red)(7)# to each side of the inequality to isolate the #m# term while keeping the inequality balanced:

#41 + color(red)(7) > 6m - 7 + color(red)(7)#

#48 > 6m - 0#

#48 > 6m#

Now, divide each side of the inequality by #color(red)(6)# to solve for #m# while keeping the inequality balanced:

#48/color(red)(6) > (6m)/color(red)(6)#

#8 > (color(red)(cancel(color(black)(6)))m)/cancel(color(red)(6))#

#8 > m#

We can reverse or "flip" the entire inequality to state the solution in terms of #m#:

#m < 8#