Question 251787

{{{0.3(11x+4)>=2.1-(x+8)}}} Start with the given inequality.



{{{3.3x+1.2>=2.1-x-8}}} Distribute.



{{{10(3.3x+1.2)>=10(2.1-1x-8)}}} Multiply both sides by 10 to clear out the decimals.



{{{33x+12>=21-10x-80}}} Distribute and multiply.



{{{33x+12>=-10x-59}}} Combine like terms on the right side.



{{{33x>=-10x-59-12}}} Subtract {{{12}}} from both sides.



{{{33x+10x>=-59-12}}} Add {{{10x}}} to both sides.



{{{43x>=-59-12}}} Combine like terms on the left side.



{{{43x>=-71}}} Combine like terms on the right side.



{{{x>=(-71)/(43)}}} Divide both sides by {{{43}}} to isolate {{{x}}}. 



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Answer:


So the solution is {{{x>=-71/43}}} 



Which approximates to {{{x>=-1.651}}}