SOLUTION: Graph the inequality x<3 Is this how I am to answer this problem? <--+---+---+---+---+---+---+---+---+---*===+===+===+==> -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6

Algebra ->  Graphs -> SOLUTION: Graph the inequality x<3 Is this how I am to answer this problem? <--+---+---+---+---+---+---+---+---+---*===+===+===+==> -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6       Log On


   

Question 92253: Graph the inequality x<3
Is this how I am to answer this problem?
<--+---+---+---+---+---+---+---+---+---*===+===+===+==>
-6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
Start with the given inequality:

x%3C3

Set up a number line:
number_line%28+500%2C+-10%2C+10%29

Now plot the point x=3 on the number line


number_line%28+500%2C+-10%2C+10%2C+3%29


Now pick any test point you want, I'm going to choose x=0, and test the inequality x%3C3


0%3C3 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=3 as the boundary.This means we shade everything to the left of the point x=3 like this
Graph of x%3C3 with the shaded region in blue

note: at the point x=3, there is an open circle. This means the point x=3 is excluded from the solution set.