Question

Part 1: Solve the inequality -5x + 8 <= x - 4 and show all of your work. You can use <= to represent the less than or equal to symbol.
Part 2: Use complete sentences to describe the graph of the solution from Part 1. Be sure to include the type of circle and which direction the shading will be.

Answer 1

-5x + 8 <= x - 4
-5x - x + 8 <= x - x - 4
-6x + 8 <= - 4
-6x + 8 - 8 <= - 4 - 8
-6x <= - 12
-6x/-6 >= -12/-6
x >= 2

<--0------1-------2///////3//>
" /// " represents shaded area.

x >= 2 reads..x is greater then or equal to 2
You would put a solid circle on 2 because 2 is included in the solution. Then you would shade to the right because x is greater or equal to 2.