Question

Resolva em R, as inequações:

Answer 1

a) $x-4 \leq \frac{12}{x} \\ \\ x-4x \leq 12 \\ \\ -3x \leq 12 \\ \\ x \leq \frac{12}{-3} \leq -4 \\ \\ x \leq -4$



b) $\frac{1}{x}\ \textless \ x \\ \\ 1\ \textless \ x^2 \\ \\ \sqrt{1} \ \textless \ x \\ \\ 1\ \textless \ x$



c) $\frac{x-3}{x-2} \leq x-1 \\ \\ \frac{-3}{-2} \leq x-1 \\ \\ -3 \leq x-1.(-2) \\ \\ -3 \leq -2x+2 \\ \\ \frac{-3-2}{-2} \leq x \\ \\ 2,5 \leq x$