Question 113559

{{{(-7/11)d+2<2/3}}} Start with the given inequality




{{{(33)((-7/11)d+2)<(33)(2/3)}}} Multiply both sides by the LCM of 33. This will eliminate the fractions  (note: if you need help with finding the LCM, check out this <a href=http://www.algebra.com/algebra/homework/divisibility/least-common-multiple.solver>solver</a>)




{{{-21d+66<22}}} Distribute and multiply the LCM to each side




{{{-21d<22-66}}}Subtract 66 from both sides



{{{-21d<-44}}} Combine like terms on the right side



{{{d>(-44)/(-21)}}} Divide both sides by -21 to isolate d  (note: Remember, dividing both sides by a negative number flips the inequality sign) 




{{{d>44/21}}} Reduce


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Answer:

So our answer is {{{d>44/21}}}  (which is approximately {{{d>2.0952380952381}}} in decimal form)