How do you solve #-10> \frac{ x }{ 3} - 1#?

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Answer 1 · 2017-01-03T22:31:29

See full solution process below

To solve this problem first add #color(red)(1)# to each side of the inequality to isolate the #x# term and keep the inequality balanced:

#-10 + color(red)(1) > x/3 - 1 + color(red)(1)#

#-9 > x/3 - 0#

#-9 > x/3#

Next, we can multiply each side of the inequality by #color(red)(3)# to solve for #x# and keep the inequality balanced:

#-9 xx color(red)(3) > x/3 xx color(red)(3)#

#-27 > x/color(red)(cancel(color(black)(3))) xx cancel(color(red)(3))#

#-27 > x#

Now, we can reverse or "flip" the inequality to state the solution in terms of #x#:

#x < -27#