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

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) (Show Source): You can put this solution on YOUR website!

Start with the given inequality

Divide both sides by 5 to isolate x

Divide

--------------------------------------------------------------
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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