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solve the inequalities for real x (3(x-2...

solve the inequalities for real x `(3(x-2))/(5) le (5(2 - x))/(3) `

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The correct Answer is:
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Given inequation : `(3(x-2))/(5) le (5(2 - x))/(3) `
`rArr (15(3x -6 ))/(5) le (15(10 - 5x))/(3)`
`rArr 3(3x - 6) le 5(10 - 5x ) `
`rArr 9x - 18 le 50 - 25x `
`rArr 34x - 18 le 50`
`rArr 34x le 68`
`rArr x le 2`
`:. Solution = (- infty , 2]`
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Knowledge Check

  • Solve- (3(x-2) )/(5) le (5 (2-x))/(3)

    A
    `(-oo,2)`
    B
    `(-oo,4)`
    C
    `(oo,-2)`
    D
    None of these

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