SOLUTION: Solve for x : 5 - x < 6

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Question 150674: Solve for x : 5 - x < 6

Found 2 solutions by oscargut, jim_thompson5910:
Answer by oscargut(686) About Me  (Show Source):
You can put this solution on YOUR website!
5 - x < 6
then
-x<6-5
-x<1
x>-1
Answer: x>-1

Answer by jim_thompson5910(21667) About Me  (Show Source):
You can put this solution on YOUR website!
5-x%3C6 Start with the given inequality.


-x%3C6-5 Subtract 5 from both sides.


-x%3C1 Combine like terms on the right side.


x%3E%281%29%2F%28-1%29 Divide both sides by -1 to isolate x. note: Remember, the inequality sign flips when we divide both sides by a negative number.


x%3E-1 Reduce.


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Answer:

So the answer is x%3E-1


So the solution set is


Also, the answer in interval notation is




Here's the graph of the solution set

drawing%28500%2C80%2C-11%2C+9%2C-10%2C+10%2C%0D%0Anumber_line%28+500%2C+-11%2C+9%29%2C%0D%0A%0D%0Aarrow%28-1%2C0%2C9%2C0%29%2C%0D%0Aarrow%28-1%2C0.30%2C9%2C0.30%29%2C%0D%0Aarrow%28-1%2C0.15%2C9%2C0.15%29%2C%0D%0Aarrow%28-1%2C-0.15%2C9%2C-0.15%29%2C%0D%0Aarrow%28-1%2C-0.30%2C9%2C-0.30%29%2C%0D%0A%0D%0Acircle%28-1%2C0%2C0.3%29%2C%0D%0Acircle%28-1%2C0%2C0.3%29%2C%0D%0Acircle%28-1%2C0%2C0.3%29%2C%0D%0Acircle%28-1%2C0%2C0.3-0.02%29%0D%0A%29