SOLUTION: solve inequality and graph solution 5x < or equal to 20

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Question 117757: solve inequality and graph solution
5x < or equal to 20
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

5x%3C=20 Start with the given inequality



x%3C=%2820%29%2F%285%29 Divide both sides by 5 to isolate x



x%3C=4 Divide

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Answer:
So our answer is x%3C=4





Now let's graph the solution set


Start with the given inequality:

x%3C=4

Set up a number line:
number_line%28500%2C-6%2C14%29

Now plot the point x=4 on the number line


number_line%28500%2C-6%2C14%2C+4%29


Now pick any test point you want, I'm going to choose x=0, and test the inequality x%3C=4


0%3C=4 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=4 as the boundary.This means we shade everything to the left of the point x=4 like this:
Graph of x%3C=4 with the shaded region in blue
note: at the point x=4, there is an closed circle. This means the point x=4 is included from the solution set.