An idiom meaning to not be inferior to someone or something; to hold one's own; to compare favorably.
彼女は学歴でも誰にも引けを取らない。
She does not fall behind anyone when it comes to academic credentials.
地元チームはプロ相手にも引けを取らない試合をした。
The local team put up a match and held their own even against professionals.
この製品は高級ブランドにも引けを取らない品質だ。
This product has quality that compares favorably with premium brands.
年齢に引けを取らない若々しさがある。
He has a youthful energy that does not make him feel his age.