How do you solve #2< \frac { 4x + 22} { x + 5} < 3#?

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Answer 1 · 2018-06-04T17:01:03

#4 < x <13#

#2<(4x+2)/(x+5)<3#

The ratio
#(4x+2)/(x+5)#
lies between 2 and 3

#(4x+2)/(x+5)>2#

#4x+2>2(x+5)#

#4x+2>2x+10#

#4x-2x>10-2#

#2x>8#

#x>4#

#(4x+2)/(x+5)<3#

#4x+2<3(x+5)#

#4x+2<3x+15#

#4x-3x<15-2#

#x<13#

#x>4, x<13#

#4 < x <13#