Home
Class 11
MATHS
solve : |3x-2|le1...

solve : `|3x-2|le1`

Text Solution

Verified by Experts

The correct Answer is:
N/a

We know that `|x|le a`
`rArr -a le x le a `
` :. | 3x - 2|le 1`
`rArr -1le (3x-2) le 1`
`rArr -1+2 le 3x le 1+2`
`rArr 1le 3x le 3`
`rArr (1)/(3) le xle 1`
`:. X in [(2)/(3). 1].`
Promotional Banner

Topper's Solved these Questions

  • LINEAR INEQUALITIES

    NAGEEN PRAKASHAN|Exercise EXERCISE|76 Videos
  • LINEAR INEQUALITIES

    NAGEEN PRAKASHAN|Exercise NCERT QUESTION|51 Videos
  • LIMITS AND DERIVATIVES

    NAGEEN PRAKASHAN|Exercise Miscellaneous Exercise|30 Videos
  • MATHEMATICAL REASONING

    NAGEEN PRAKASHAN|Exercise Misellaneous exercise|7 Videos

Similar Questions

Explore conceptually related problems

Solve |3x-2| le 5 .

Solve : |x - 3| le 1

Solve |3x-2| le (1)/(2) .

Solve |3x-2|le(1)/(2),x inR.

Solve 1 le |x-2| le 3

solve |x-1|le2 .

Solve: |4x-5|le(1)/(3),x in R

Solve: |5-2x|le3,x in R

solve 1le|x-1|le3 ,