Question

solve the inequation -3 ‹ -1/2-2x/3‹= 5/6 , x belongs to R

Answer 1

Step-by-step explanation:

-3/-1/2-2x6355-x364-dfc/5+8

Answer 2

-3<-1/2-2x/3<_5/6

Adding 1/2 to the whole inequation

-3+1/2<-2x/3<_5/6+1/2

-5/2<-2x/3<_4/3

Multiplying the inequation by-3/2

Equality gets reversed if we multiply a inequality by a -ve number

Therefore, the inequality becomes

-5/2×-3/2>x>_ 4/3×-3/2

15/4>x>_ -2

Arranging the in equation

-2<_x<15/4

Therefore x belongs to[-2,15/4)