Question 150674
{{{5-x<6}}} Start with the given inequality.



{{{-x<6-5}}} Subtract {{{5}}} from both sides.



{{{-x<1}}} Combine like terms on the right side.



{{{x>(1)/(-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>-1}}} Reduce.



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Answer:


So the answer is {{{x>-1}}} 



So the solution set is *[Tex \LARGE \left\{x\|x>-1\right\}]



Also, the answer in interval notation is *[Tex \LARGE \left(-1,\infty\right)]





Here's the graph of the solution set


{{{drawing(500,80,-11, 9,-10, 10,
number_line( 500, -11, 9),

arrow(-1,0,9,0),
arrow(-1,0.30,9,0.30),
arrow(-1,0.15,9,0.15),
arrow(-1,-0.15,9,-0.15),
arrow(-1,-0.30,9,-0.30),

circle(-1,0,0.3),
circle(-1,0,0.3),
circle(-1,0,0.3),
circle(-1,0,0.3-0.02)
)}}}