+0

# Inequality

0
105
2

Solve t/3 - 5 < t - 2 + 2t <= -3t + 7.

Apr 21, 2022

#1
+9459
+1

Hint: This looks complicated, but you can rewrite it into the system of inequalities $$\begin{cases}\dfrac t3 - 5 < t - 2 + 2t\\t - 2 + 2t \leq -3t + 7\end{cases}$$, solve each inequality, and find the range of values of t which satisfies both inequalities. Now it just becomes two separate linear inequalities in t.

Apr 22, 2022
#2
+69
0

t E (pretend its the curvy E) (-9/8, 3/2)

Apr 22, 2022