1.3b-Activity2
To solve the inequality abs(x-3)<=(1/2)x, we first need to graph each side of the inequality in our calculators.
y>=abs(x-3)
y<=(1/2)x
Then we will find any critical points of the inequality by finding the points of intersection between these two graphs.
x=2
x=6
Since x=2 and x=6 are both critical values of the inequality, we need to pick three test points - one to the left of x=2, one to the right of x=6, and one in-between x=2 and x=6. The test point(s) that gives a "true" statement when we plug in to the inequality is the correct side to shade on.