What are some good books on algebraic inequalities?

The Cauchy-Schwarz Master Class: An Introduction to the Art of Mathematical Inequalities by J. Michael Steele.

Basics of Olympiad Inequalities (Samin Riasat)

www.aam.org.in/site/st_material/14.pdf

It's a free pdf document and it is very useful.

$1$. Garling - Inequalities

$2$. Cvetkovski - Inequalities

$3$. Zawaira - A Primer for Mathematics Competitions

Old and New Inequalities Volume 1 - Titu Andreescu

Old and New Inequalities Volume 2 - Vo Quoc Ba Can et.al.

Algebraic Inequalities - Vasile Cirtoaje

Secrets in Inequalities - Pham Kim Hung [Volume 1 and 2]

Inequalities with Beautiful Solutions - Vo Quoc Ba Can et.al.

To my best knowledge, all the problems presented in the above mentioned books are solved.