How do you solve #-9>=2/5m+7#?

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Answer 1 · 2017-04-24T11:44:44

See the solution process below:

Step 1) Subtract #color(red)(7)# from each side of the inequality to isolate the #m# term while keeping the inequality balanced:

#-9 - color(red)(7) >= 2/5m + 7 - color(red)(7)#

#-16 >= 2/5m + 0#

#-16 >= 2/5m#

Step 2) Multiply each side of the inequality by #color(red)(5)/color(blue)(2)# to solve for #m# while keeping the inequality balanced:

#color(red)(5)/color(blue)(2) * -16 >= color(red)(5)/color(blue)(2) * 2/5m#

#-80/color(blue)(2) >= cancel(color(red)(5))/cancel(color(blue)(2)) * color(blue)(cancel(color(black)(2)))/color(red)(cancel(color(black)(5)))m#

#-40 >= m#

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

#m <= -40#

Answer 2 · 2017-04-24T11:49:08

Solution : #m <= -40 or (-oo,-40]#

# -9 >= 2/5 m +7 or -9-7 >= 2/5 m or 5/2*(-16) >= m or -40 >=m or m<= -40 #
Solution : #m <= -40 or (-oo,-40]# [Ans]