Home
Class 12
MATHS
Solve in R and represent the solution on...

Solve in R and represent the solution on the number line. `(x-1)/2 le (x+1)/3 lt (3x-1)/6`

Text Solution

Verified by Experts

`(x-1)/2 le (x+1)/3 lt (3x-1)/6`
` rArr 3x-3 le 2x+2 lt 3x-1`
`rArr 3x-3 le 2x + 2` and 2x+2 le 3x-1`
`rArr x le 5` and ` x gt 3`
`rArr 3 lt x le 5`
If x `in` R the solution set is S = {3,5}
we can represent the solution on number line as :
Promotional Banner

Topper's Solved these Questions

  • LIMIT AND DIFFERENTIATION

    MBD PUBLICATION|Exercise QUESTION BANK|165 Videos

  • LINEAR PROGRAMMING

    MBD PUBLICATION|Exercise QUESTION BANK|25 Videos

Similar Questions

Explore conceptually related problems

Solve in R and represent the solution on the number line. abs(x-5) lt 1

Solve in R and represent the solution on the number line. 2x + 1 ge 0

Solve in R and represent the solution on the number line. x/5 lt (2x + 1)/3 + (1-3x)/6

Solve abs(x-1) gt 1 and represent the solution on the number line.

Solve in R and also in Z. (3x+1)/5 ge (x+2)/3- (5-3x)/5

Solve as directed : Convert to linear inequality and solve for natural numbers: (x-2) (x-3) lt (x +3) (x-1)

Give an example of a step function on [-1,3] = {x in R , -1 le x le 3}

From the equations which represents the following Pair of lines 2x - 3y + 1 = 0 , 2x + 3y + 1 = 0

Solve in R, x/2 + 1 le 2x - 5 lt x . Also find its solution in N.