Find all real numbers t such that 23t−1 < t+7 ≤ −2t+15 . Give your answer as an interval.
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23t−1 < t+7 23t−t < 1+7 −13t < 8 t > −24
And
t+7 ≤ −2t+15 t+2t ≤ −7+15 3t ≤ 8 t≤83
t is bigger than -24 but less than or equal to 8/3
t must be in the interval (−24,83]_