Question 319635
{{{3-2x+4<1}}} Start with the given inequality.



{{{-2x+7<1}}} Combine like terms on the left side.



{{{-2x<1-7}}} Subtract {{{7}}} from both sides.



{{{-2x<-6}}} Combine like terms on the right side.



{{{x>(-6)/(-2)}}} Divide both sides by {{{-2}}} to isolate {{{x}}}. note: Remember, the inequality sign flips when we divide both sides by a negative number. 



{{{x>3}}} Reduce.



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Answer:


So the solution is {{{x>3}}} 



So the answer in interval notation is *[Tex \LARGE \left(3,\infty\right)]