Question 1083260
Interval for which t satisfies the inequalities is  ( -24, 8/3] 

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Found by:   {{{ (2/3)t - 1 < t + 7 }}} —> {{{ 2t - 3 < 3t + 21 }}} —>  {{{ t>-24 }}}
and {{{ t+7 <= -2t + 15 }}}  —>  {{{ 3t+7 <= 15 }}} —> {{{ t<=8/3}}}