Question 150611

{{{6-6x>1-5x}}} Start with the given inequality.



{{{-6x>1-5x-6}}} Subtract {{{6}}} from both sides.



{{{-6x+5x>1-6}}} Add {{{5x}}} to both sides.



{{{-x>1-6}}} Combine like terms on the left side.



{{{-x>-5}}} Combine like terms on the right side.



{{{x<(-5)/(-1)}}} Divide both sides by {{{-1}}} to isolate {{{x}}}. note: Remember, the inequality sign flips when we divide both sides by a negative number. 



{{{x<5}}} Reduce.



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Answer:


So the answer is {{{x<5}}} 



So the solution set is  *[Tex \LARGE \left\{x\|x<5\right\}]



Also, the answer in interval notation is *[Tex \LARGE \left(-\infty,5\right)]



Here's the graph of the solution set


{{{drawing(500,80,-5, 15,-10, 10,
number_line( 500, -5, 15),


arrow(5,0,-5,0),
arrow(5,0.30,-5,0.30),
arrow(5,0.15,-5,0.15),
arrow(5,-0.15,-5,-0.15),
arrow(5,-0.30,-5,-0.30),




circle(5,0,0.3),
circle(5,0,0.3),
circle(5,0,0.3),
circle(5,0,0.3-0.02)
)}}}