How do you solve #-39\leq 11b - 6\leq 104#?

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Answer 1 · 2017-01-06T14:40:12

See explanation.

You can add or subtract values from such compound inequality just as you would do with a single inequality.

#-39 <= 11b-6 <=104#

Add 6 to all sides:

#-33 <= 11b <=110#

You can also multiply or divide all sides (remembering about changing inequality signs if you divide / multiply by a negative number)

Divide all sides by #11#:

#-3 <=b <=10#

The solution is #b in [-3;10]#