Question

Solve the inequality |x+4|+|x-1|>5.
Can someone please teach how to solve this..
P.S: im not for the answer, i need the knowledge..

Answer 1

there might be 4 cases there to solve,

they are

(x+4)+(x-1)>5

(x+4)-(x-1)>5

-(x+4)+(x-1)>5

-(x+4)-(x-1)>5

in the first case 2x+3>5 => 2x>2 x>1

in the second

x+4-x+1>5 => 5>5 F

in the third also fails

4th -x-4-x+1>5

-2x-3>5

2x+3<-5

2x<-8

x<-4

so the answer will be x<-4 or x>2

Answer 2

where did u get x>2?? n finding x for every inequality to prove what? wat do u mean by fail? do u mean tat the x that we get is suppose to b greater than 5?