Question 112350

{{{1-x/2>4}}} Start with the given inequality




{{{(2)(1-x/2)>(2)(4)}}} Multiply both sides by the LCM of 2. 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>)




{{{2-x>8}}} Distribute and multiply the LCM to each side




{{{-x>8-2}}}Subtract 2 from both sides



{{{-x>6}}} Combine like terms on the right side



{{{x<(6)/(-1)}}} Divide both sides by -1 to isolate x  (note: Remember, dividing both sides by a negative number flips the inequality sign) 




{{{x<-6}}} Divide


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Answer:

So our answer is {{{x<-6}}}