Question

solve the inequality: x/2 < 5x - 3/ 3 - 7x - 3/5

Answer 1

x/2 < (5x-3/3)-(7x-3/5)

x/2 < 5(5x-3)-3(7x-3)

15

x/2 < 25x-15-21x+9

15

x/2 < 4x-6

15

15x < 4(4x-6)

15x < 16x-24

15x-16x < -24

-x< -24

x > 24

Hence x (4,∞)