Řešení nerovnice
Řeš v \( \R \) nerovnici:
\( \large \left( \Large \frac{1}{4}\large \right) ^{x}\leq 3 \cdot \left( \Large \frac{1}{2}\large \right) ^{x} - \left( \Large \frac{1}{2}\large \right) ^{x} \)
Zkouška: \( x = 2 \)
\( \left (\frac{1}{4} \right)^{2}\leq 3 \cdot \left (\frac{1}{2} \right)^{2} − \left (\frac{1}{2} \right)^{2} \)
\( \frac{1}{16} \leq \frac{1}{2} \)
Zkouška: \( x = -1 \)
\( \left (\frac{1}{4} \right)^{-1}\leq 3 \cdot \left (\frac{1}{2} \right)^{-1} − \left (\frac{1}{2} \right)^{-1} \)
\( 4 \leq 2 \)
Zkouška: \( x = 1 \)
\( \left (\frac{1}{4} \right)^{1}\leq 3 \cdot \left (\frac{1}{2} \right)^{1} − \left (\frac{1}{2} \right)^{1} \)
\( \frac{1}{4} \leq 1 \)
Zkouška: \( x = 0 \)
\( \left (\frac{1}{4} \right)^{0}\leq 3 \cdot \left (\frac{1}{2} \right)^{0} − \left (\frac{1}{2} \right)^{0} \)
\( 1 \leq 2 \)