Question 115759


{{{2(2-3x)<4(x+1)}}} Start with the given inequality




{{{4-6x<4x+4}}} Distribute



{{{-6x<4x+4-4}}}Subtract 4 from both sides



{{{-6x-4x<4-4}}} Subtract 4x from both sides



{{{-10x<4-4}}} Combine like terms on the left side



{{{-10x<0}}} Combine like terms on the right side



{{{x>(0)/(-10)}}} Divide both sides by -10 to isolate x  (note: Remember, dividing both sides by a negative number flips the inequality sign) 




{{{x>0}}} Divide


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Answer:

So our answer is {{{x>0}}}