x    4
—   ≥   —
16   x

is
gelijkwaardig
met 		A.  \(\large\boldsymbol{\frac {x^2\,-\,64} {x} \geq 0 }\)
B.  \(\large\boldsymbol{\frac {x\,-\,4} {16\,-\,x}\geq 0 }\)
C.  \(\boldsymbol{x^2 \geq 64}\)
D.  \(\boldsymbol{x^2 \leq 64}\)
E.  \(\boldsymbol{x \geq 8}\)
A    B    C    D    E

[ 4,5-3539 - op net sinds 28.10.14-(E)-30.10.2023 ]

Translation in   E N G L I S H

 
 x     4
----   ≥   ---
16    x

is
equivalent
with 		A.   \(\large\boldsymbol{\frac {x^2\,-\,64} {x} \geq 0 }\)
B.   \(\large\boldsymbol{\frac {x\,-\,4} {16\,-\,x}\geq 0 }\)
C.   \(\boldsymbol{x^2 \geq 64}\)
D.   \(\boldsymbol{x^2 \leq 64}\)
E.   <\(\boldsymbol{x \geq 8}\)

Oplossing - Solution

\begin{aligned} {\frac{x}{16}} \geq \frac{4}{x} \; \Leftrightarrow \; {\frac{x}{16}} - \frac{4}{x}\geq 0 \; \Leftrightarrow \; \frac{x^2-64}{16x }\geq 0 \; \Leftrightarrow \; \frac{x^2-64}{x}\geq 0 \end{aligned}
gricha