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CBSE Class 11-science Answered

please solve the question:
Asked by manasd | 17 Sep, 2015, 11:04: PM
answered-by-expert Expert Answer
T h e space g i v e n space i n e q u a l i t y space i s space open vertical bar x minus 6 close vertical bar greater than open vertical bar x squared minus 5 x plus 9 close vertical bar T h e space q u a d r a t i c space e x p r e s s i o n space i n space t h e space r i g h t space h a n d space s i d e space x squared minus 5 x plus 9 space h a d space D equals open parentheses negative 5 close parentheses squared minus 4 open parentheses 1 close parentheses open parentheses 9 close parentheses equals 25 minus 36 equals negative 11 space left parenthesis n e g a t i v e right parenthesis comma space a equals 1 space left parenthesis p o s i t i v e right parenthesis H e n c e comma space i t space i s space a l w a y s space g r e a t e r space t h a n space z e r o. space H e n c e comma space open vertical bar x squared minus 5 x plus 9 close vertical bar equals x squared minus 5 x plus 9 space f o r space a l l space r e a l space v a l u e s space o f space apostrophe x apostrophe. N o w space t h e space l e f t space h a n d space s i d e space open vertical bar x minus 6 close vertical bar equals x minus 6 comma space f o r space x greater or equal than 6 space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space 6 minus x comma space f o r space x less than 6 C a s e space 1 colon space x greater or equal than 6 T h e space i n e q u a l i t i y space b e c o m e s x minus 6 greater than space x squared minus 5 x plus 9 rightwards double arrow x squared minus 6 x plus 15 less than 0... left parenthesis 1 right parenthesis D space f o r space t h e space a b o v e space q u a d r a t i c space i s space open parentheses negative 6 close parentheses squared minus 4 open parentheses 1 close parentheses open parentheses 15 close parentheses equals 36 minus 60 equals negative 24 space w h i c h space i s space n e g a t i v e. space a equals 1 space left parenthesis p o s i t i v e right parenthesis H e n c e comma space t h e space a b o v e space q u a d r a t i c space x squared minus 6 x plus 15 greater than 0 comma space f o r space a l l space v a l u e s space o f space apostrophe x apostrophe. space S o comma space x squared minus 6 x plus 15 less than 0 space i s space n o t space p o s s i b l e space f o r space a n y space v a l u e space o f space apostrophe x apostrophe. C a s e space 2 colon space x less than 6 T h e space i n e q u a l i t y space b e c o m e s space 6 minus x greater than x squared minus 5 x plus 9 rightwards double arrow x squared minus 4 x plus 3 less than 0 rightwards double arrow open parentheses x minus 1 close parentheses open parentheses x minus 3 close parentheses less than 0 rightwards double arrow x element of open parentheses 1 comma 3 close parentheses S o space f r o m space c a s e space 1 space a n d space c a s e space 2 space comma space t h e space v a l u e s space o f space x space s a t i s f y i n g space t h e space i n e q u a l i t y space x element of open parentheses 1 comma 3 close parentheses space
Answered by satyajit samal | 18 Sep, 2015, 01:17: PM

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CBSE 11-science - Maths
In connection with my previous doubt. Sir/Ma'am, but why are the signs of the inequalities reversed in the 2 inequations in the RD solution?
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Asked by youdhustu | 25 Jun, 2022, 01:48: PM
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CBSE 11-science - Maths
How to split this double inequality into 2 inequations and get the solution set of the system of inequations by intersection method? I didn't understand how to split it into 2 inequations.
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Asked by youdhustu | 25 Jun, 2022, 12:10: PM
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CBSE 11-science - Maths
If we know two inequalities for a number k, how should we combine them? Like ( k is greater than 2) and ( {k+6}{k-4} is greater than 0). What will be k ultimately?
Asked by drhimasingh | 23 Apr, 2020, 11:34: AM
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CBSE 11-science - Maths
Find the solution for the pair of inequalities x >2 and x > - 3.
Asked by Topperlearning User | 12 Oct, 2017, 09:28: AM
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CBSE 11-science - Maths
Find the solution for the pair of inequalities   x >2 and x < -3  
Asked by Topperlearning User | 12 Oct, 2017, 09:28: AM
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CBSE 11-science - Maths
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Asked by Topperlearning User | 04 Jun, 2014, 01:23: PM
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CBSE 11-science - Maths
Find the region represented by x < 0 and y < 0?
Asked by Topperlearning User | 04 Jun, 2014, 01:23: PM
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CBSE 11-science - Maths
Find the solution for the pair of inequalities x +5 >2x-9  and 2x-11>4(x-1).
Asked by Topperlearning User | 27 Apr, 2016, 08:23: AM
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CBSE 11-science - Maths
Find the integral values of two numbers such that their sum is 11 and the product is greater than 28.
Asked by Topperlearning User | 30 Apr, 2014, 11:02: AM
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CBSE 11-science - Maths
A owner of a land has 3000m of fencing with which he wishes to enclose a area of rectangular piece of grazing  land along a straight portion of a river. Fencing is not required along the river. What could be the possible values of the breadth of the rectangular piece of grazing land if its length is along the river.
Asked by Topperlearning User | 30 Apr, 2014, 10:54: AM
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