1.

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

Answer»

SOLUTION :`(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 :


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