Question 165080

{{{11x+3-13x-7<2(5+4x)}}} Start with the given inequality.



{{{11x+3-13x-7<10+8x}}} Distribute.



{{{-2x-4<10+8x}}} Combine like terms on the left side.



{{{-2x<10+8x+4}}} Add {{{4}}} to both sides.



{{{-2x-8x<10+4}}} Subtract {{{8x}}} from both sides.



{{{-10x<10+4}}} Combine like terms on the left side.



{{{-10x<14}}} Combine like terms on the right side.



{{{x>(14)/(-10)}}} Divide both sides by {{{-10}}} to isolate {{{x}}}. note: Remember, the inequality sign flips when we divide both sides by a negative number. 



{{{x>-7/5}}} Reduce.



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Answer:


So the answer is {{{x>-7/5}}} 



Which in decimal form is {{{x>-1.4}}}