SOLUTION: -5(X+3) < -5X+1 i Get stuck because I can't solv3e for x since there is -5x on both sides.

Algebra ->  Algebra  -> Inequalities -> SOLUTION: -5(X+3) < -5X+1 i Get stuck because I can't solv3e for x since there is -5x on both sides.      Log On

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Question 291013: -5(X+3) < -5X+1 i Get stuck because I can't solv3e for x since there is -5x on both sides.
Answer by jim_thompson5910(28715) About Me  (Show Source):
You can put this solution on YOUR website!
-5%28x%2B3%29%3C-5x%2B1 Start with the given inequality.


-5x-15%3C-5x%2B1 Distribute.


-5x%3C-5x%2B1%2B15 Add 15 to both sides.


-5x%2B5x%3C1%2B15 Add 5x to both sides.


0x%3C1%2B15 Combine like terms on the left side.


0x%3C16 Combine like terms on the right side.


0%3C16 Simplify (ie 0x=0)


Since the inequality 0%3C16 is ALWAYS true, regardless of the value of 'x', this means that ANY value of 'x' will satisfy the original inequality.


So there are an infinite number of solutions. Unfortunately, there are many classes of inequalities that have an "infinite number of solutions", but in this case, what I mean by "infinite number of solutions" is that any real number will work.