SOLUTION: If |x + 2| < 5, then a < x

SOLUTION: If |x + 2| < 5, then a < x < b. Find a and b.

Question 1208928: If |x + 2| < 5, then a < x < b. Find a and b.

Answer by ikleyn(52879)   (Show Source): You can put this solution on YOUR website!
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If |x + 2| < 5, then a < x < b. Find a and b.
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        The formulation of the problem in the post is incorrect.

        The correct formulation is " find the maximum a and the minimum b such that a < x < b. "

        Or even simpler: "Find the solution set for x".

        Below is the solution for this modified formulation.

if  |x+2| < 5,  it means that

    -5 < x+2 < 5.


Subtract 2 from each of the 3 sides of this compound inequality.
You will get then

    -7 < x < 3.


It is what you want to get:  a = -7;  b = 3.    ANSWER

Solved (in the right modified formulation).

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