Question 114648


{{{-x-4>3x-2}}} Start with the given inequality




{{{-x>3x-2+4}}}Add 4 to both sides



{{{-x-3x>-2+4}}} Subtract 3x from both sides



{{{-4x>-2+4}}} Combine like terms on the left side



{{{-4x>2}}} Combine like terms on the right side



{{{x<(2)/(-4)}}} Divide both sides by -4 to isolate x  (note: Remember, dividing both sides by a negative number flips the inequality sign) 




{{{x<-1/2}}} Reduce


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Answer:

So our answer is {{{x<-1/2}}}  (which is approximately {{{x<-0.5}}} in decimal form)