Question 149361


{{{3-3x>-6}}} Start with the given inequality.



{{{-3x>-6-3}}} Subtract {{{3}}} from both sides.



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



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



{{{x<3}}} Reduce.



----------------------------------------------------------------------


Answer:


So the answer is {{{x<3}}} 





So the answer in interval notation is *[Tex \LARGE \left(-\infty,3\right)]



Also, the answer in set-builder notation is  *[Tex \LARGE \left\{x\|x<3\right\}]




Here's the graph of the solution set


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


arrow(3,0,-7,0),
arrow(3,0.30,-7,0.30),
arrow(3,0.15,-7,0.15),
arrow(3,-0.15,-7,-0.15),
arrow(3,-0.30,-7,-0.30),




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