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How do you solve inequalities with more than 1 sign and variable on more than 1 sides?

 
 
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How do you solve inequalities with more than 1 sign and variable on more than 1 sides?
by Jialin Wang - Friday, 5 November 2021, 5:44 PM
 

In II number theory #9, a certain inequality was involved: t<=(2t+1)/4-1<t+1. It simplifies to -7/2<=t<-3/2. I dont understand how this works

 
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Re: How do you solve inequalities with more than 1 sign and variable on more than 1 sides?
by Dr. Kevin Wang - Sunday, 7 November 2021, 12:32 AM
 

Solve the two inequalities $t \leq (2t+1)/4-1$ and $(2t+1)/4 - 1 \lt t+1$ separately.