Question 188222

{{{3x-5>=7x+3}}} Start with the given inequality.



{{{3x>=7x+3+5}}} Add {{{5}}} to both sides.



{{{3x-7x>=3+5}}} Subtract {{{7x}}} from both sides.



{{{-4x>=3+5}}} Combine like terms on the left side.



{{{-4x>=8}}} Combine like terms on the right side.



{{{x<=(8)/(-4)}}} Divide both sides by {{{-4}}} to isolate {{{x}}}. note: Remember, the inequality sign flips when we divide both sides by a negative number. 



{{{x<=-2}}} Reduce.



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Answer:


So the solution is {{{x<=-2}}}