What is (x+31)/2 >= (31x)/(31+x) ?

The solution to (x+31)/2 >= (31x)/(31+x) is x>-31

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(x+31)/2 >= (31x)/(31+x)

\frac{x + 31}{2} \geq \frac{31 x}{31 + x}

x > - 31

Interval Notation

(- 31, \infty)

Solution steps

\frac{x + 31}{2} \geq \frac{31 x}{31 + x}

Rewrite in standard form

\frac{x ^{2} + 961}{x + 31} \geq 0

Identify the intervals

x > - 31

\frac{( 9 \cdot 1 0 ^{9} ) ( 3 \cdot 1 0 ^{- 9} ) ( 2 \cdot 1 0 ^{- 9} )}{( 0.05 ) ^{2}}

\frac{p ^{12} t ^{7} r ^{2}}{p ^{2} t ^{7} r}

\frac{t + 2}{4} - \frac{t - 2}{8} = \frac{1}{8}

3 x - 7 = 5

9 m^{4} - 16

What is (x+31)/2 >= (31x)/(31+x) ?
The solution to (x+31)/2 >= (31x)/(31+x) is x>-31