Question

(2x-I)>(3x-2)(2-3)16.234

Answer 1

The given inequality is,

( 2x−1 ) 3 ≥ ( 3x−2 ) 4 − ( 2−x ) 5

Solve for real value of x,

( 2x−1 ) 3 ≥ 5( 3x−2 )−4( 2−x ) 20 ( 2x−1 ) 3 ≥ 15x−10−8+4x 20 ( 2x−1 ) 3 ≥ 19x−18 20

Solve by cross multiplication,

20( 2x−1 )≥3( 19x−18 ) 40x−20≥57x−54 40x−57x≥−54+20

On solving,

−x≥−2 x≤2

So, the value of x is less than or equal to 2.

Thus, x∈( −∞,2 ].