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

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

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`|3x-2| le (1)/(2)`
or `-(1)/(2) le 3x -2 le (1)/(2)`
or ` (3)/(2) le 3x le (5)/(2)`
or `(1)/(2) le x le (5)/(6)`
or `x in [(1)/(2),(5)/(6)]`
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CENGAGE PUBLICATION-RELATIONS AND FUNCTIONS-All Questions
  1. Solve |x-3|+|x-2|=1.

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  2. Sol v e(|x+3|+x)/x >1

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

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  4. Solve ||x-1|-5|lt=2

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  5. Solve: (-1)/(|x|-2) ge 1.

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  6. Solve |x-1|+|x-2| ge 4

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  7. Solve |sinx+cosx|=|sinx|+|cosx|,x in [0,2pi].

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  8. Solve: |-2x^2+1+e^x+sinx|=|2x^2-1|+e^x+|sinx|,x in [0,2pi].

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  9. Let A = {1, 2, 3, 4, 6}. Let R be the relation on A defined by {(a , b...

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  10. If R={(x,y): x,y in W, x ^(2)+y^(2)=25}, then find the domain and rang...

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  11. If R(1)={(x,y)|y=2x+7, where x in R and -5 le x le 5} is a relation. T...

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  12. Show that the relation R in the set R of real numbers, defined as R={...

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  13. Prove that the relation R in set A = {1, 2, 3, 4, 5} given by R = {(a...

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  14. Show that the relation R in the set A of points in a plane given by R ...

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  15. Show that the relation R defined in the set A of all triangles as R={(...

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  16. Given a non empty set X, consider P (X) which is the set of all subset...

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  17. Examine each of the following relations given below and state in each...

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  18. If A is set of different triangles in the plane and B is set of all po...

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  19. A relation R is defined from N to N as R={(ab,a+b): a,b in N}. Is R ...

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  20. Set A has m distinct elements and set B has n distinct elements. The...

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