3(-2) < 5(2-3)

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Solution

Given, 3( x−2 ) 5 ≤ 5( 2−x ) 3 .

Solve for x,

3( x−2 ) 5 ≤ 5( 2−x ) 3 3x−6 5 ≤ 10−5x 3 3( 3x−6 )≤5( 10−5x ) 9x−18≤50−25x

Further simplify,

9x+25x≤50+18 34x≤68 x≤ 68 34 x≤2

All the real numbers less than or equal to 2 are the solutions of inequality, as x is a real number.

Therefore, solution for inequality is ( −∞,2 ].

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