Question 536542


{{{-4x+6>=18}}} Start with the given inequality.



{{{-4x>=18-6}}} Subtract {{{6}}} from both sides.



{{{-4x>=12}}} Combine like terms on the right side.



{{{x<=(12)/(-4)}}} Divide both sides by {{{-4}}} to isolate {{{x}}}. note: Remember, the inequality sign flips when we divide both sides by a negative number. 



{{{x<=-3}}} Reduce.



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Answer:


So the solution 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(-3,0,0.2),
circle(-3,0,0.15),
circle(-3,0,0.1),
circle(-3,0,0.2-0.02)
)}}}