How do you graph and solve # |x – 2| <=3#?

1 Answer
A. S. Adikesavan
Feb 10, 2017

#x in [-1, 5]#. The section (segment ) of the x-axis of the shaded region in the graph is the graph, for this solution

Explanation:

graph{y-|x-2|+3>=0 [-7.2, 7.1, -3.56, 3.597]}

Algebraically,

#x-2<=3# giving #x <=5#, when x >=2 and#

#-(x-2)<=3# giving #x >=-15#, when x <=2

Graphically, this interval #x in [-1, 5]# is the subset y = 0 of the set

for #y >= |x-2|-3#, in the Socratic graph.

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