1. Help needed

Can anyone tell me easiest way to solve questions like
1) Area b/w graphs->f(x)=||x|-2|+||x|-4|;g(x)=|x|+||x|-6|
2)No of values satisfying the inequation-->|x|+|x-1|+|x+3|<6
3)Equations in more than one variable like--> no of values satisfying the equation |x+1|+|y+1|<4

Explain the method as well

Cheerz!!!

2. For the first one

Originally Posted by nikunj14_83
Can anyone tell me easiest way to solve questions like
1) Area b/w graphs->f(x)=||x|-2|+||x|-4|;g(x)=|x|+||x|-6|
2)No of values satisfying the inequation-->|x|+|x-1|+|x+3|<6
3)Equations in more than one variable like--> no of values satisfying the equation |x+1|+|y+1|<4

Explain the method as well

Cheerz!!!
find which is greater on the domain they are bounded by...to do this first find $g(x)=f(x)$....then set up an integral with limits of integration based on your finds...then you must find $f(x)>g(x)$ on the interval...if that is true the area between is $\int_a^{b}f(x)-g(x)dx$...if $f(x) on the interval...then it is the negative of the integral I gave you