Question 653033


{{{24x-24>4(5x-10)}}} Start with the given inequality.



{{{24x-24>20x-40}}} Distribute.



{{{24x>20x-40+24}}} Add {{{24}}} to both sides.



{{{24x-20x>-40+24}}} Subtract {{{20x}}} from both sides.



{{{4x>-40+24}}} Combine like terms on the left side.



{{{4x>-16}}} Combine like terms on the right side.



{{{x>(-16)/(4)}}} Divide both sides by {{{4}}} to isolate {{{x}}}. 



{{{x>-4}}} Reduce.



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


Answer:


So the solution is {{{x>-4}}}