SOLUTION: 3 --- <5 3 divided by x-2 is less than or equal to 5 x-2 -

Algebra ->  Algebra  -> Inequalities -> SOLUTION: 3 --- <5 3 divided by x-2 is less than or equal to 5 x-2 -       Log On

Ad: Algebra Solved!™: algebra software solves algebra homework problems with step-by-step help!
Ad: Algebrator™ solves your algebra problems and provides step-by-step explanations!

   

Question 127312: 3
--- <5 3 divided by x-2 is less than or equal to 5
x-2 -
Answer by jim_thompson5910(21682) About Me  (Show Source):
You can put this solution on YOUR website!
3%2F%28x-2%29%3C=5 Start with the given inequality


cross%28x-2%29%283%2Fcross%28x-2%29%29%3C=5%28x-2%29Multiply both sides by x-2


3%3C=5%28x-2%29 Simplify


3%3C=5x-10 Distribute


0%3C=5x-10-3Subtract 3 from both sides


-5x%3C=-10-3 Subtract 5x from both sides


-5x%3C=-13 Combine like terms on the right side


x%3E=%28-13%29%2F%28-5%29 Divide both sides by -5 to isolate x (note: Remember, dividing both sides by a negative number flips the inequality sign)



x%3E=13%2F5 Reduce

--------------------------------------------------------------
Answer:
So our answer is x%3E=13%2F5 (which is approximately x%3E=2.6 in decimal form)