Find all real numbers t such that 23t−1<t+7≤−2t+15. Give your answer as an interval.
Thanks!
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]
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]