Home
Class 11
MATHS
solve the inequation (2x+4)/(x-1) ge 5 a...

solve the inequation `(2x+4)/(x-1) ge 5` and represent this solution on the number line.

Text Solution

Verified by Experts

The correct Answer is:
N/a
`(2x+4)/(x-1) ge 5`
`rArr (2x+4)/(x-1) -5 ge 0`
`rArr (2x+4-5x+5)/(x-1) ge 0`
`rArr (-3x+9)/(x-1) ge0`
`rArr (x-3)/(x-1) le0`
`rArr (x-3le 0 and x -1gt 0)`
or ` (x-3ge0 and x-1lt0)`
`rArr (xle3 and xgt1)`
or `(x ge 3 and x lt1)`
But x ge 3 and x lt 1 is not valid.
`:. x le and xgt1`
`rArr 1lt x le 3`
`:. `Solution set on number line
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 the inequation: (x+1)/(x-7) ge2

solve the inequation (2x-3)/(4)+9ge3+(4x)/(3) and represent this solution on number line .

Solve the inequation (3(x -2))/(5) le (5(2 -x))/(3) and represent this solution on number line.

Solve the inequation 5x - 2 ge 3x - 1 If x in R and represent the solution on the number line

Solve the inequation 3(x-1) le 2 (x -3) If x in R and represent the solution on the number line

Solve the inequation 3x - 7 lt 5x - 3 If x in R and represent the solution on the number line

Solve the inequation 2x + 5 gt - 5x + 12 If x in R and represent the solution on the number line

Solve each of the following inequations and represent the solution set on the number line. ((2x-1))/(3)ge((3x-2))/(4)-(2-x)/(5)," where " x in R .

Solve each of the following inequations and represent the solution set on the number line. (1)/(4)((2)/(3)x+1)ge(1)/(3)(x-2)," where " x in R .

Solve each of the following inequations and represent the solution set on the number line. (5x-8)/(3)ge(4x-7)/(2) " where " x in R .