Question

The solution of the -12 < (4-3x)/(-5) < 2​

Answer 1

Answer:

Step-by-step explanation:

Given that,

- 12 < ( 4-3x ) / (- 5) < 2

= - 12 ( - 5 ) < (- 5 ) (4x - 3 ) / ( - 5 ) < 2 / ( - 5 )

= 12/5 < (4x - 3 ) < ( - 2/5)

= ( - 2/5) < 4x - 3 < 12/ 5

= ( - 2/5) + 3 < 4x - 3 + 3 < ( 12/5 ) + 3

= ( - 2 + 15) / 5 < 4x < ( 12 + 15 ) / 5

= 13/5 < 4x < 27/5

= ( 13/5 )/ 4 < (4x ) / 4 < ( 27/5)/ 4

= ( 13/5)× (1/4 ) < x < (27/5) × ( 1/4)

= 13/20 < x < 27/20