How do you solve #-2x+3<=9#?

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Answer 1 · 2016-07-16T10:24:57

#x>=6#

The objective is to get #x# on its own on one side of the inequality sign and everything else on the other.

#color(brown)("Making the "x" term positive")#

Multiply by (-1)

#+2x-3>=9 larr" notice that the "<=" is now ">=#

'~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
#color(brown)("Isolating the "x" term")#

Add 3 to both sides

#+2x-3+3>=9+3#

#2x>=12#

,~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
#color(brown)("Isolating "x)#

Divide both sides by 2

#2/2xx x>=12/2#

#x>=6#