Question

please answer the question given above

Answer 1

Hey there !

Solution :

Given that x ∈ W,

To solve : 3x / 5 - 2x - 1 / 3 > 1

Proof :

$\frac{3 x }{5} - \frac{2 x - 1 }{5} > 1$

Taking LCM we get the LCM to be 15. So we get,

$[ \frac{3x}{5} * \frac{3}{3} ] - [ \frac{ 2x - 1 }{3} * \frac{5}{5} ] > 1$

$\frac{ 9x - 10x - 5 }{ 15 } > 1$

$\frac{ - x - 5 }{15 } > 1$

$- x - 5 > 1 * 15$

$- x > \frac{15}{ - 1 }$

=> $- x > - 15$

=> x > 15

Hence value of x will be greater than 15 for this equation.

Hope my answer helped !