Question 1057768
This is false.


Starting with the original compound inequality:


-4 < -2t + 6 < 10


Subtract 6 from each expression to get:


-4 - 6 < -2t + 6 - 6 < 10 - 6


-10 < -2t < 4


Dividing through by -2, and reversing the inequality signs, gives:


-10  / -2 > t > 4 / -2


5 > t > -2


Reversing this compound inequality gives:


-2 < t < 5


Adding 6 back to eat portion gives:


-2 + 6 < t + 6 < 5 + 6


4 < t + 6 < 11, which is not the same as 2 > t + 6 > 5