Question 134279
{{{4.3x + 23.0 > 57.5 - 7.2x}}} Start with the given inequality



{{{43x + 230 > 575 - 72x}}} Multiply both sides by 10 to move the decimal to the right. This will eliminate the decimals. 




{{{43x>575-72x-230}}}Subtract 230 from both sides



{{{43x+72x>575-230}}} Add 72x to both sides



{{{115x>575-230}}} Combine like terms on the left side



{{{115x>345}}} Combine like terms on the right side



{{{x>(345)/(115)}}} Divide both sides by 115 to isolate x 




{{{x>3}}} Divide


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Answer:

So our answer is {{{x>3}}} 





So the answer in set-builder notation is  *[Tex \Large \left\{x\|x>3\right\}]