Question

Solve the inequality and graph the solution set on a number line. Express the solution set in both​ set-builder and interval notations.
-8 < x -3 < 1

Answer 1

-8 < x -3 < 1
we have two inequations: 
* -8<x-3 and -8+3<x-3+3 or -5 < x or x>-5
*  x-3<1 or x-3+3<1+3 and we have x<4
For all cases we have -5<x<4
or interval notations: x∈(-5;4)
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