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Find all real numbers t such that $$\frac{2}{3} t - 1 < t + 7 \le -2t + 15$$. Give your answer as an interval.

Jul 17, 2019

#1
+2

Find all real numbers t such that  $$\frac{2}{3} t - 1 < t + 7 \le -2t + 15$$. Give your answer as an interval.

Hello Guest!

$$\frac{2}{3} t - 1 < t + 7 \le -2t + 15\\ -8 <\frac{1}{3}t\\ \color{blue}t<24$$

$$​ ​$$

$$t+7\le-2t+15\\ -8\le -3t\\\color{blue}t\le24$$

$$t\in \{ \mathbb{R}|t<24\}$$ !

Jul 17, 2019
edited by asinus  Jul 17, 2019
edited by asinus  Jul 17, 2019

#1
+2

Find all real numbers t such that  $$\frac{2}{3} t - 1 < t + 7 \le -2t + 15$$. Give your answer as an interval.

Hello Guest!

$$\frac{2}{3} t - 1 < t + 7 \le -2t + 15\\ -8 <\frac{1}{3}t\\ \color{blue}t<24$$

$$​ ​$$

$$t+7\le-2t+15\\ -8\le -3t\\\color{blue}t\le24$$

$$t\in \{ \mathbb{R}|t<24\}$$ !

asinus Jul 17, 2019
edited by asinus  Jul 17, 2019
edited by asinus  Jul 17, 2019
#2
+5

In order from oldest to newest:

 Answers by CPhill and me: https://web2.0calc.com/questions/help_49470 Second answer by CPhill: https://web2.0calc.com/questions/help_85516 Answer by heureka: https://web2.0calc.com/questions/help_71861 Second answer by me: https://web2.0calc.com/questions/help_31003 Found from first page of search results here.
Jul 18, 2019
#3
+2

LOL!!!!!   CPhill  Jul 18, 2019