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SubscribeMore math for Anders :D
Original Equation
\[ x + (1 - C(t)) \times (1 - x) \geq 0.4 \]
Expanding the Equation:
\[ (1−C(t))×(1−x) = 1 - x - C(t) + C(t) \times x \]
Substitute:
\[ x + (1 - x - C(t) + C(t) \times x) \geq 0.4 \]
This simplifies to:
\[ 1 - C(t) + C(t) \times x \geq 0.4 \]
Factoring out \(C(t)\):
\[ 1 - C(t) \times (1 - x) \geq 0.4 \]
Solving for \(C(t)\)
Subtracting \(0.4\) from both sides:
\[ 1 - 0.4 \geq C(t) \times (1 - x) \]
Simplifying:
\[ 0.4 \geq C(t) \times (1 - x) \]
Finally, solving for \(C(t)\):
\[ C(t) \leq \frac{0.6}{1 - x} \]