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How do you solve #-3< - \frac { 1} { 2} - \frac { 2x } { 3} \leq \frac { 5} { 6}#?

1 Answer

May 26, 2018

#-2<=x<3 3/4#

Explanation:

Multiply all by 6:
#-3*6<(-1*6)/2-(2x*6)/3<=(5*6)/6#
#-18<-3-4x<=5#

Add 3 to all:
#-15<-4x<=8#

Multiply all by -1:
#15>4x>=-8#
#-8<=4x<15#

Divide all by 4:
#-2<=x<15/4#
#-2<=x<3 3/4#

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