SOLUTION: x+1/5 < x-9/2 how do i work it out ?

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Question 117366: x+1/5 < x-9/2 how do i work it out ?
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

x%2B1%2F5%3Cx-9%2F2 Start with the given inequality



%2810%29%28x%2B1%2F5%29%3C%2810%29%28x-9%2F2%29 Multiply both sides by the LCM of 10. This will eliminate the fractions (note: if you need help with finding the LCM, check out this solver)



10x%2B2%3C10x-45 Distribute and multiply the LCM to each side



10x%3C10x-45-2Subtract 2 from both sides


10x-10x%3C-45-2 Subtract 10x from both sides


0x%3C-45-2 Combine like terms on the left side


0x%3C-47 Combine like terms on the right side


0%3C-47 Simplify

Since this inequality is never true for any x value, this means there are no solutions.