Quantity and reciprocal sum

Show that the sum of any real positive quantity and its reciprocal is never less than $2$ .

~3 minProof · checked by AIInequalitiesReciprocals

H. S. Hall & S. R. Knight, Higher Algebra (1891) · Ch. XIX. Inequalities, Examples XIX.a, No. 3

Stuck? A gentle nudge

Something off?

Workspace

Your working

Check your full solution

Upload photos of your handwritten work or a PDF, and Lemma will read it and tell you whether it's right — and where it first goes wrong if not.