Find all real numbers t such that (2/3)t- 1 < t + 7 is < or = to -2t + 15. Give your answer as an interval.

Answer 1

(2/3)t- 1 < t + 7 ≤ -2t + 15

(2/3)t - 1 < t+7 AND t + 7 ≤ -2t + 15
2t - 3 < 3t + 21 AND 3t ≤ 8
-t < 24 AND t ≤ 8/3
t > -24 AND t ≤ 8/3

-24 < t ≤ 8/3

change this to whatever notation asked for.

Answer 2

Thank you!