How do you solve the inequality #-n/3 - 5<-4#?

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Answer 1 · 2016-05-02T10:55:06

#n > -3#

Add 5 to both sides

#-n/3+0<-4+5#

#-n/3<1#

Multiply both sides by 3

#-n<3# ...............................(1)

Add #n# to both sides

#0 < 3+n#

Subtract 3 from both sides

#-3 < n#

#n > -3#
'~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
Reconsider inequality (1)

Shortcut method
Multiply by (-1) and turn the inequality round the other way

#=>(-1)(-n<3) ->" " n>3#