Graph the solution set of the inequality 3(1-x)<9.

Question

Graph the solution set of the inequality 3(1-x)<9.

Answer 1

 

3(1 - x) < 9

 

3 - 3x < 9

 

-3x < 9 - 3

 

-3x < 6

 

x < -2

 

Answer 2

First, solve the inequality:

 

3(1 - x) < 9

3 - 3x < 9

-3x < 6

x > -2

 

Now, graph the line x = -2.  Use a point to test where to shade the graph.  An easy point to use is (0,0).  The x component of the point is 0, so plug in 0 for x and see if it makes a true statement:

 

0 > -2

 

This is a true statement, so you shade from x = -2 upward.