SOLUTION: 5x <_ 25 solve and graph I am struggling to understand how to solve these types of problems. please try to show me step by step this process in order for me to understand m

Algebra ->  Quadratic Equations and Parabolas -> SOLUTION: 5x <_ 25 solve and graph I am struggling to understand how to solve these types of problems. please try to show me step by step this process in order for me to understand m      Log On


   

Question 125398This question is from textbook beginning algebra
: 5x <_ 25
solve and graph
I am struggling to understand how to solve these types of problems.
please try to show me step by step this process in order for me to understand my algebra book... (I am going to post a few more questions) Thank you for taking the time to help me. This question is from textbook beginning algebra

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

5x%3C=25 Start with the given inequality



x%3C=%2825%29%2F%285%29 Divide both sides by 5 to isolate x



x%3C=5 Divide

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Answer:
So our answer is x%3C=5



Now let's graph the solution set


Start with the given inequality:

x%3C=5

Set up a number line:
number_line%28500%2C-5%2C15%29

Now plot the point x=5 on the number line


number_line%28500%2C-5%2C15%2C+5%29


Now pick any test point you want, I'm going to choose x=0, and test the inequality x%3C=5


0%3C=5 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=5 as the boundary.This means we shade everything to the left of the point x=5 like this:
Graph of x%3C=5 with the shaded region in blue
note: at the point x=5, there is an closed circle. This means the point x=5 is included from the solution set.