Question

Find the solution set for *
​

Answer 1

Step-by-step explanation:

Given that:-

-2≤1/2-2x/3<1 5/6

=>-2≤1/2-2x/3<11/6

subtracting 1/2 on both sides

=>-2-1/2≤1/2-1/2-2x/3<11/6-1/2

=>-5/2≤-2x/3<(11-3)/2

=>-5/2≤-2x/3<8/2

= -5/2≤-2x/3<4

multiplying with 3 on both sides

=>(-5/2)×3≤(-2x/3)×3<4×3

=>-15/2≤-2x<12

dividing by 2 on both sides

=>(-15/2)/2≤-2x/2<12/2

=>-15/4≤-x<6

=>15/4≥x>-6

=>-6<x≤15/4

= -6<x≤3 3/4

The possible values of x are {-5,-4,-3,-2,-1,0,1,2,3,3 3/4}