How do you solve and graph #-9 <=2x-5# and #2x +1 < 5#?

1 Answer
Tamir E.
Nov 21, 2017

solve:
#-2<=x<2#

graph (reds):
#-----color(red)((-2)--0--)2-------->x#

Explanation:

#-9<=2x-5#
#2x+1<5#
#=>#
#-9<=2x-5#
#2x-5<-1#
#=>#
#-9<=2x-5<-1#
#=>#
#-4<=2x<4#
#=>#
#-2<=x<2#

on x axis:
#-------0---------->x#

we put #x=-2 , x=2#
#=>#
#-----(-2)--0--2-------->x#

we want #x>=-2 and x<2# (paints in red)
#=>#
#-----color(red)((-2)--0--)2-------->x#

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