Question

x (5x-2) (7x-3)4.15.

Answer 1

Given, x 4 < ( 5x−2 ) 3 − ( 7x−3 ) 5 .

Solve for x,

x 4 < ( 5x−2 ) 3 − ( 7x−3 ) 5 x 4 < 5( 5x−2 )−3( 7x−3 ) 15 x 4 < 25x−10−21x+9 15 x 4 < 4x−1 15

Further simplify,

15x<4( 4x−1 ) 15x<16x−4 4<16x−15x 4<x

All the real numbers greater than 4 are the solutions of inequality, as x is a real number.

Therefore, solution set is ( 4,∞ ).