Question

solve linear inequation -3<-1/2-2x/3<=5/6

Answer 1

Answer:

x ∈ [-2, 15/4)

Step-by-step explanation:

-3 < -1/2 - 2x/3 ≤ 5/6

-3 + 1/2 < -1/2 - 2x/3 + 1/2 ≤ 5/6 + 1/2

-5/2 < -2x/3 ≤ 4/3

5/2 > 2x/3 ≥ -4/3

15/2 > 2x ≥ -4

15/4 > x ≥ -2

So, x ∈ [-2, 15/4)