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what about 8th question in this pic then in this question y>2x but they have shade belowthe line contrary to what you explained?

Asked by upmaniousagarika 30th May 2016, 7:34 PM
Answered by Expert
Answer:
H i comma
Y o u space h a v e space n o t space m e n t i o n e d space t h e space b o o k space o r space e x e r c i s e space f o r space t h i s space p a r t i c u l a r space q u e s t i o n.
A s s u m i n g space t h a t space y o u r space r e q u i r e d space q u e s t i o n space i s space f r o m space N C E R T space E x 12.1 comma space p l e a s e space c h e c k space t h e space f o l l o w i n g space s o l u t i o n.
 
 
I n space t h e space a b o v e space s o l u t i o n comma space w e space c a n space s e e space t h e space l i n e comma space 2 x minus y equals 0
N o w space c o n s i d e r space t h e space i n e q u a l i t y space 2 x minus y less than 0
T a k e space a n y space k n o w n space p o i n t comma space s a y space left parenthesis 10 comma 30 right parenthesis
S u b s t i t u t i n g space t h e space v a l u e s space f o r space x equals 10 space a n d space y equals 30 comma space w e space h a v e comma space 2 cross times 10 minus 30 equals 20 minus 30 equals negative 10
T h u s comma space 2 x minus y equals negative 10 less than 0
H e n c e space t h e space p o i n t space left parenthesis 10 comma space 30 right parenthesis space l i e s space i n space t h e space r e g i o n.

N o w space c o n s i d e r space a n o t h e r space k n o w n space t e s t space p o i n t comma space left parenthesis 40 comma space 10 right parenthesis
S u b s t i t u t i n g comma space x equals 40 space a n d space y equals 10 space i n space t h e space i n e q u a l i t y comma space w e space h a v e comma space 2 cross times 40 minus 10 equals 70 comma space w h i c h space i s space g r e a t e r space t h a n space z e r o.
H e n c e space t h e space t e s t space p o i n t space d o e s space n o t space l i e space t h e space r e g i o n comma space 2 x minus y less than 0

T h e r e f o r e comma space w e space n e e d space t o space s h a d e space t h e space r e g i o n space w h e r e space t h e space p o i n t space left parenthesis 40 comma space 10 right parenthesis space l i e s.
T h e r e f o r e comma space i f space t h e space t e s t space p o i n t space l i e s space i n space t h e space r e g i o n comma space t h e space i n e q u a l i t y space w o u l d space b e space s a t i s f i e d.
I f space t h e space i n e q u a l i t y space i s space n o t space s a t i s f i e d comma space t h e n space s h a d e space t h e space o t h e r space r e g i o n space w h e r e space i t space i s space b e i n g space s a t i s f i e d.
I n space t h e space a b o v e space g r a p h comma space b l u e space c o l o u r space r e g i o n space d e n o t e s space t h e space r e g i o n comma space 2 x minus y less than 0 space a n d space t h e space o r a n g e space c o l o u r space d e n o t e s
t h e space r e g i o n comma space 2 x minus y greater than 0.
Answered by Expert 31st May 2016, 10:10 AM
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