How do you solve the compound inequality #2x+4>= -4# and #2x-1<=3#?

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Answer 1 · 2016-08-02T08:51:30

#-4<=x<=2#

As #2x+4>=-4#, we have

#2x>=-4-4# or

#2x>=-8# or #x>=-4#

Also we have #2x-1<=3# i.e.

#2x<=3+1# or

#2x<=4# or #x<=2#

Now as we have #x>=-4# as well as #x<=2#,

the solution can be summarized as

#-4<=x<=2#