Question

x(5x-2) (7x-3)스>20. 2

Answer 1

The given inequality equation is,

x 2 ≥ ( 5x−2 ) 3 − ( 7x−3 ) 5

Solve for real value of x,

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

Solve by cross multiplication,

15x≥2( 4x−1 ) 15x≥8x−2 15x−8x≥−2 x≥ −2 7

So, the value of x is greater than or equal to −2 7 that is,

x∈( −2 7 ,∞ )

The graphical representation of the solution is,

Thus, x∈( −2 7 ,∞ ).