How do you solve #-11.6\geq 6.7+ 4.3+ m#?

Question

1224 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2016-11-28T17:56:18

#m <= -22.6#

First, add the terms on the right side of the inequality:

#-11.6 >= (6.7 + 4.3) + m#

#-11.6 >= 11 + m#

Next subtract #11# from each side of the equation to solve for #m# while keeping the inequality balanced:

#-11.6 - 11 >= 11 - 11 + m#

#-22.6 >= 0 + m#

#-22.6 >= m#

Now we must reverse or "flip" the inequality to solve this problem in terms of #m#:

#m <= -22.6#