SOLUTION: Graph the solution set of each of the following inequalities. Here are some examples of how to use text characters to do the graphing (we’ll be using only the following symbols: l
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-> SOLUTION: Graph the solution set of each of the following inequalities. Here are some examples of how to use text characters to do the graphing (we’ll be using only the following symbols: l
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Question 86356: Graph the solution set of each of the following inequalities. Here are some examples of how to use text characters to do the graphing (we’ll be using only the following symbols: less than “<” (for the arrow pointing to the left), greater than “>” (for the arrow pointing to the right), dash (for light lines) “-“, equals (for heavy lines) “=”, plus “+” (for a point of interest), capital “O” (for a point that is not part of the solution), and asterisk “*” for a point that is part of the solution.
x < 1: <=====+===O----->
0 1
Set up a number line:
note: just replace the x with the variable you are working with
Now plot the point 1 on the number line
Now pick any test point you want, I'm going to choose 0, and test the inequality
Plug in
Since this inequality is true, we simply shade the entire portion in which contains 0 using the point 1 as the boundary. This means we shade from 1 and go to the left like this
note: at the point 1, there is an open circle. This means the point 1 is excluded from the solution set.