Question 119116


{{{-4(3x-6)<3(x+3)}}} Start with the given inequality




{{{-12x+24<3x+9}}} Distribute



{{{-12x<3x+9-24}}}Subtract 24 from both sides



{{{-12x-3x<9-24}}} Subtract 3x from both sides



{{{-15x<9-24}}} Combine like terms on the left side



{{{-15x<-15}}} Combine like terms on the right side



{{{x>(-15)/(-15)}}} Divide both sides by -15 to isolate x  (note: Remember, dividing both sides by a negative number flips the inequality sign) 




{{{x>1}}} Divide


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Answer:

So our answer is {{{x>1}}}