SOLUTION: 1-x/2>4

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Question 112350: 1-x/2>4
Found 2 solutions by jim_thompson5910, checkley71:
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

1-x%2F2%3E4 Start with the given inequality



%282%29%281-x%2F2%29%3E%282%29%284%29 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 solver)



2-x%3E8 Distribute and multiply the LCM to each side



-x%3E8-2Subtract 2 from both sides


-x%3E6 Combine like terms on the right side


x%3C%286%29%2F%28-1%29 Divide both sides by -1 to isolate x (note: Remember, dividing both sides by a negative number flips the inequality sign)



x%3C-6 Divide

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Answer:
So our answer is x%3C-6

Answer by checkley71(8403) About Me  (Show Source):
You can put this solution on YOUR website!
1-X/2>4
-X/2>4-1
-X/2>3
-X>6 DIVIDING BY A NEGATIVE NUMBER (-1) CHANGES THE > SIGN TO THE < SIGN.
X<-6 ANSWER.
PROOF
LET X=-7
1-(-7)/2>4
1+7/2>4
1+3.5>4
4.5>4