A rational number a b is greater than c d if for all positive a- b- c- d

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Properties of Rational Numbers

A rational nu...

Question

A rational number 𝑎𝑏 is greater than 𝑐𝑑 if (for all positive 𝑎,𝑏,𝑐,𝑑)

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A rational number 𝑎/𝑏 is greater than 𝑐/𝑑 if (for all positive 𝑎,𝑏,𝑐,𝑑)

(i)

a (b + c) = a b + a c

a, b

c

(i i)

1

(i i i)

\frac{a}{b}

\frac{c}{d}

\frac{a}{b}

\times

\frac{c}{d}

= 1

\frac{a}{b} + \frac{b}{c} + \frac{c}{a}

If $a, b, c, d$ are positive numbers, then $a b + c d < 2 \sqrt{a b c d}$

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