SOLUTION: 1/5X<35

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Question 115214: 1/5X<35
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
%281%2F5%29x%3C35 Start with the given inequality



%285%29%28%281%2F5%29x%29%3C%285%29%2835%29 Multiply both sides by 5

x%3C175 Multiply


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Answer:
So our answer is x%3C175

Now let's graph the solution

Start with the given inequality:

x%3C175

Set up a number line:
number_line%28500%2C165%2C185%29

Now plot the point x=175 on the number line


number_line%28500%2C165%2C185%2C+175%29


Now pick any test point you want, I'm going to choose x=0, and test the inequality x%3C175


0%3C175 Plug in x=0


Since this inequality is true, we simply shade the entire portion in which contains the point x=0 using the point x=175 as the boundary.This means we shade everything to the left of the point x=175 like this:
Graph of x%3C175 with the shaded region in blue

note: at the point x=175, there is an open circle. This means the point x=175 is excluded from the solution set.