Question 107276


{{{1-6d<d+8}}} Start with the given inequality



{{{-6d<d+8-1}}}Subtract 1 from both sides



{{{-6d-d<8-1}}} Subtract d from both sides



{{{-7d<8-1}}} Combine like terms on the left side



{{{-7d<7}}} Combine like terms on the right side



{{{d>(7)/(-7)}}} Divide both sides by -7 to isolate d  (note: Remember, dividing both sides by a negative number flips the inequality sign) 




{{{d>-1}}} Divide


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Answer:

So our answer is {{{d>-1}}}