Which of the following inequalities holds for all non-negative real numbers and ?

MATHEMATICS · Single correct · CBSE · Mathematics · Sequences and Series · Sequences and Series

Problem

Which of the following inequalities holds for all non-negative real numbers

a

and

b

? (a)

(a+b)^2\le4ab

(b)

\dfrac{a+b}{2}\ge\sqrt{ab}

(c)

a+b\ge2ab

(d)

\dfrac{a+b}{2}\le\sqrt{ab}