Doubts

[ravihanda]

Please go through the solved examples before asking a doubt.

[surya1]

Q) |y|=|x+1| find the no. of integral solutions

[ravihanda]

Surya,

I think you got the question wrong. The equation you have given has infinite many integral solutions. Please check.

x=0, y =1
x=1, y =2
x=2, y =3 and so on.

[Gagan]

Hi Ravi,Please help me out with the below question
Find the range of x in following inequality|x-6|>|x2-5x+9|

Also can you please tell me whether we have to take the intersection of range of x from different equation or the union of the ranges

[grimreaper]

Hi Ravi,Please help me out with the below question
Find the range of x in following inequality|x-6|>|x2-5x+9|

Also can you please tell me whether we have to take the intersection of range of x from different equation or the union of the ranges

ranges can be anything....provided they satisfy your initial domain......for eg... if i take |x-3| = A and i say x is greater than 3, than on solving if i arrive at a value of x lesser than 3, means no solution.....

so its the domain thats more imp

as for this Q...
notice your quad is having coef of x^2 as positive.... and D<0 so this is always greater than 0, so only condition you have to check is if x is lesser than 6 or greater...
for x greater than 6, no solution
x-6>x^2-5x+9
or x^2-6x+15<0 ... not possi...cause again D<0 so always greater than 0

for x<6
you get..

x^2-4x+3<0 implies... x belongs to (1,3) excluding 1,3 as no equality sign is there.
so your range of "x" is nothing but the domain....itself.........
had they asked range of F(x) then sub value of x and get the answer