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

Algebra.Com
Question 117757: solve inequality and graph solution
5x < or equal to 20

Answer by jim_thompson5910(35256)   (Show Source): You can put this solution on YOUR website!

Start with the given inequality



Divide both sides by 5 to isolate x



Divide

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Answer:
So our answer is





Now let's graph the solution set


Start with the given inequality:



Set up a number line:


Now plot the point on the number line





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


Plug in


Since this inequality is true, we simply shade the entire portion in which contains the point x=0 using the point as the boundary.This means we shade everything to the left of the point like this:
Graph of with the shaded region in blue
note: at the point , there is an closed circle. This means the point is included from the solution set.

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