Find Value for a and b

If -3 < x < 2, then a < x - 6 < b. Find a and b.

this is basically the same idea as "always do the same thing to both sides of an equation."
Here you just have to do the same thing to each element of the inequality.

-3 < x < 2
subtract 6 from each element
-3 - 6 < x - 6 < 2 - 6
-9 < x - 6 < -4
a = -9
b = -4

a < x - 6 < b
a < (-3, 2) - 6 < b
a < (-9, -4) < b

a < -9
b > -4

I hope this helps!