Question 144362

{{{-3x-13>-4}}} Start with the given inequality




{{{-3x>-4+13}}}Add 13 to both sides



{{{-3x>9}}} Combine like terms on the right side



{{{x<(9)/(-3)}}} Divide both sides by -3 to isolate x  (note: Remember, dividing both sides by a negative number flips the inequality sign) 




{{{x<-3}}} Divide


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Answer:

So our answer is {{{x<-3}}} 





Here's the graph of the solution set


{{{drawing(500,80,-13, 7,-10, 10,
number_line( 500, -13, 7),


arrow(-3,0,-13,0),
arrow(-3,0.30,-13,0.30),
arrow(-3,0.15,-13,0.15),
arrow(-3,-0.15,-13,-0.15),
arrow(-3,-0.30,-13,-0.30),




circle(-3,0,0.3),
circle(-3,0,0.3),
circle(-3,0,0.3),
circle(-3,0,0.3-0.02)
)}}}