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Answer 1 · 2016-09-20T19:20:21

#x > -1/2#

Treat an inequality in the same way as an equation - umless you mulitply or divide by a negative number, in which the inequality sign changes around.

However, if you can keep the variable positive, that problem does not arise.

#color(tomato)(-6x)+2<2xcolor(blue)(+6)#

#2color(blue)(-6) < 2x color(tomato)(+6x)#

#-4 < 8x" "larr div 8" "# sign stays the same

#-4/8 < x#

#-1/2 < x " " hArr " " x > -1/2#