Home
Class 12
MATHS
Solve |x|+|x-2|=2....

Solve `|x|+|x-2|=2.`

Text Solution

Verified by Experts

We have | x| + | x-2| = 2
`rArr |x| + | x-2 | = | x-(x-2)|`
`rArr x(x-2 ) le 0`
`rArr 0 le x le 2`
Promotional Banner

Topper's Solved these Questions

  • SET THEORY AND REAL NUMBER SYSTEM

    CENGAGE|Exercise Exercise 1.1|12 Videos
  • SET THEORY AND REAL NUMBER SYSTEM

    CENGAGE|Exercise Exercise 1.2|8 Videos
  • SEQUENCE AND SERIES

    CENGAGE|Exercise Question Bank|36 Videos
  • SETS AND RELATIONS

    CENGAGE|Exercise Question Bank|15 Videos

Similar Questions

Explore conceptually related problems

Solve |x-1|-|2x-5|=2x

Solve x^(2)+x-2=0

Solve |x|^(2)-|x|+4=2x^(2)-3|x|+1 .

Solve :x|x+3|+2|x+2|=0

Solve |x^(2)-2x|+|x|<=2

Solve 6x^(2)-x-2=0 .

Solve |(x+2)/(x-1)|=2

Solve for x : |2x-3| = 2

Solve for x:(|x-2|)/(x+5)>2