Answer:
−5 < x < 10
Step-by-step explanation:
Add 1 to each part of the three parts of the inequality:
-6 +1 < x - 1 +1 < 9 +1
-5 < x < 10 . . . . . simplify
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The only place where there's an x is in the middle section. The only operation performed on x is subtraction of 1. To undo that subtraction, you add 1, but you must add 1 to all sides of the comparison symbols in order to keep them true.
Such a compound inequality is the same as the two inequalities:
Solving either one of these is done by adding 1 to both sides of the < symbol:
You can put these back together in the form of the compound inequality ...
-5 < x < 10
