How do you graph and solve # abs[2-x/2]-1<=1#?

1 Answer
May 16, 2018

Answer:

#0<=x<=8# or #x in[0,8]#

Explanation:

Add one to both sides to get:
#abs(2-x/2)<=1#

Now since we have #abs()# we ca take the positive or negative of the function:

#2-x/2<=2#
#-x/2<=0#
#-x<=0#
#x>=0#

or

#x/2-2<=2#
#x/2<=4#
#x<=8#

Combining these gives us:
#0<=x<=8# or #x in[0,8]#