Given, 3x−7>5x−1.
Solve for x,
3x−7>5x−1 3x−7+7>5x−1+7 3x>5x+6 3x−5x>5x−5x+6
Further simplify,
−2x>6 x<−3
All the real numbers less than −3 are the solutions of inequality, as x is real number.
Thus, the solution set of inequality is ( −∞,−3 ).