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CBSE Class 11-science Answered

|x-3|+|4-x|=1
Asked by rajkishorjubilee46 | 20 Jul, 2019, 03:34: AM
answered-by-expert Expert Answer
There are 3 possible cases
W h e n space x less or equal than 3
rightwards double arrow negative left parenthesis x minus 3 right parenthesis plus 4 minus x equals 1
rightwards double arrow negative 2 x equals negative 6 rightwards double arrow x equals 3
W h e n space x greater or equal than 4
rightwards double arrow x minus 3 minus left parenthesis 4 minus x right parenthesis equals 1
rightwards double arrow 2 x equals 8 rightwards double arrow x equals 4
W h e n space 3 less than x less than 4
rightwards double arrow x minus 3 plus 4 minus x equals 1 rightwards double arrow 1 equals 1 space w h i c h space i s space a l w a y s space t r u e
T h e r e f o r e comma space vertical line x minus 3 vertical line plus vertical line 4 minus x vertical line equals 1 space i s space s a t i s f i e d space f o r space a l l space x space s u c h space t h a t space 3 less than x less than 4 space a n d space a l s o space f o r space x equals 3 comma 4
H e n c e space x element of left square bracket 3 comma space 4 right square bracket
Answered by Renu Varma | 22 Jul, 2019, 09:59: AM

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