Question

Solve the inequality 2x - 3 < x + 2 ≤ 3x + 5. Show your work.

Answer 1

\[2x-3<x+2 ~~~~and~x+2\leq3x+5\]
\[3x<5~~~and~~2x\ge-3\]
\[x<5/3~~~and~~x\geq-3/2\]
combine them to get
\[-3/2<x<5/3\]

Answer 2

thanks

Answer 3

np