How do you graph the inequality #y<=-3abs(x-2)+4#?

1 Answer
Dec 2, 2016

Answer:

Upon the collar-graph and the neck within, #y<=-3|x-2|+4#. The vertex of the collar is (2, 4)

Explanation:

#y<=-3|x-2|+4# is the combined equation for the pair

#y<=-3(x-2)+4, x>=2# and

#y<=-3(-(x-2))+4, x<=2#

representing two straight lines meeting at ( 2, 4 ).

See the graph.

Upon the collar-graph and the neck within, #y<=-3|x-2|+4#.

graph{y+3|x-2|-4=0 [-40, 40, -20, 20]}