+144 Find all real numbers \(t\) such that \(\frac{2}{3} t - 1 < t + 7 \le -2t + 15\). Give your answer as an interval.
Thanks!
+343 2/3t - 1 < t +7 so
2/3t - t < 7 + 1
-1/3t < 8
t > -3(8)
t > -24
and t+7 < -2t +15
t + 2t < 15 - 7
3t < 8
t < 8/3
Finally tE (-24,8/3]
+343 2/3t - 1 < t +7 so
2/3t - t < 7 + 1
-1/3t < 8
t > -3(8)
t > -24
and t+7 < -2t +15
t + 2t < 15 - 7
3t < 8
t < 8/3
Finally tE (-24,8/3]
