find the range of values of values of r which satisfies the following inequality, where a, b and c are positive ra r a + rb r b + rc r c > 1

Assessment: JAMB UTME - Mathematics - 1989 Subject: General Mathematics

Question 1 Report

find the range of values of values of r which satisfies the following inequality, where a, b and c are positive $\frac{r}{a}$ + $\frac{r}{b}$ + $\frac{r}{c}$ > 1

r >

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

r < abc

r >

\frac{1}{a}

\frac{1}{b}

\frac{1}{c}

r <

\frac{1}{a b c}

Answer Details

$\frac{r}{a}$ + $\frac{r}{b}$ + $\frac{r}{c}$ > 1 = $\frac{b c r + a c r + a b r}{a b c}$ > 1
r(bc + ac + ba > abc) = r > $\frac{a b c}{b c + a c + a b}$

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Linear Inequalities

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find the range of values of values of r which satisfies the following inequality, where a, b and c are positive ra r a + rb r b + rc r c > 1

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