Given, 37−( 3x+5 )≥9x−8( x−3 ).
Solve for x,
37−( 3x+5 )≥9x−8( x−3 ) 37−3x−5≥9x−8x+24 32−3x≥x+24 32−24≥x+3x
Further simplify,
8≥4x 2≥x
All the real numbers less than or equal to 2 are the solutions of inequality, as x is a real number.
Therefore, solution set is ( −∞,2 ].