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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`.

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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`.
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Correct Answer - `(-oo,2]`
`(##RSA_MATH_XI_C06_E01_013_A01##)`
`20(2x-1)ge15(3x-2)-12(2-x)rArr40x-20ge45x -30-24+12x`
`rArr -17x ge -34 rArr x le 2`.
`therefore " solution set " = (-oo, 2]`
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