SOLUTION: Respected Sir, My Question is : If |x − 2| + |x − 3| = 7 then x Please Explain me the Doubt clearly in detail ?

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Question 708722: Respected Sir,
My Question is :
If |x − 2| + |x − 3| = 7 then x
Please Explain me the Doubt clearly in detail ?
Found 2 solutions by josgarithmetic, KMST:
Answer by josgarithmetic(39630)   (Show Source): You can put this solution on YOUR website!
FOUR conditions to check for this equation.

Both expression negative:
(Do you notice I took the OPPOSITE both expressions there?)

.


The Condition that and :


FALSE STATEMENT.

The condition that and :


FALSE STATEMENT.

Both expressions positive:




The occurrance of the false statements is the result of those sets of conditions not being possible
Solution: x=-1 OR x=6
Answer by KMST(5328)   (Show Source): You can put this solution on YOUR website!
The two solutions are and

For , and , then

The expression cannot equal
So either , making and both positive adding to
or , making and both negative,
adding to

For :

We solve
--> --> --> -->

For :

So <-->
We solve
--> --> --> -->
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