BMTC 135 Block 2, Page 15, Example 8, Solve the equation |x-3| + |x-4| = 1

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NeetuMath

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Jul 28, 2020, 1:21:49 AM7/28/20
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Hello Teacher,

How do we find out that we need to consider three cases(as given in solution) to solve the given equation?
Equation |x-3| + |x-4| = 1

Thank you.

BSCG programme Mathematics

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Jul 30, 2020, 12:32:12 AM7/30/20
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---------- Forwarded message ---------
From: BSCG programme Mathematics <bscm...@ignou.ac.in>
Date: Thu, Jul 30, 2020 at 10:01 AM
Subject: Re: BMTC 135 Block 2, Page 15, Example 8, Solve the equation |x-3| + |x-4| = 1
To: NeetuMath <ne2t...@gmail.com>


You can observe the fand relate it with the definition of modulus function. Just recall absolute value function, it is x when x is greater than or equal to 0 and -x otherwise. Here, observe both the absolute values of x-3 and x-4. These values will be different in three intervals that is when x is less than 3, x is in between 3 and 4 and when x is greater than 4. Accordingly three cases have been taken.
Also, please correct the course code, it is BMTC 131.

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