Question

Example of line bar inequality

Answer 1

-3(x - 2)≤12

Solve -3(x - 2) = 12 :

x - 2 = - 4
x = - 2

Graph x = - 2 , using a filled circle because the original inequality was ≤ :

Graph of x = - 2

Plug values into the equation -3(x - 2)≤12 :

Pick a point on the left of -2 ( -3 , for example):
-3(- 3 - 2)≤12 ?
15≤12 ? No.
Pick a point on the right of -2 ( 0 , for example):
-3(0 - 2)≤12 ?
6≤12 ? Yes.

Draw a dark line from -2 extending to the right, with an arrow at the end:

Graph of -3(x - 2)≤12 , or of  x≥ - 2