How do you solve and graph #-1<=5+b<10#?

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Answer 1 · 2017-08-21T10:59:55

See a solution process below:

Subtract #color(red)(5)# from each segment of the system of inequalities to solve for #b# while keeping the system balanced:

#-color(red)(5) - 1 <= -color(red)(5) + 5 + b < -color(red)(5) + 10#

#-6 <= 0 + b < 5#

#-6 <= b < 5#

Or

#b >= -6# and #b < 5#

Or, in interval notation:

#[-6, 5)#