Question

Resolva, en IR,a inequação: x+3/x-1 ≤3

Answer 1

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$\frac{x+3}{x-1} \leq 3 \\ \\ x+3 \leq 3(x-1) \\ \\ x+3 \leq 3x-3 \\ \\ x-3x \leq -3-3 \\ \\ -2x \leq -6 \\ \\ 2x \geq 6 \\ \\ x \geq 6\div2 \\ \\ x \geq 3 \\ \\ S=\{x\in R / x \geq 3\}$