Question

Resolva a inequação-quociente: 2x+1/x-3 >1

Answer 1

Resposta:

s ={x ∈ IR/x < -4 ou x > 3}

Explicação passo-a-passo:

$\frac{2x+1}{x-3}>1\\\\\frac{2x+1}{x-3}-1>0\\\\\frac{2x+1-x+3}{x-3}>0\\\\\frac{x+4}{x-3}>0\\\\Raizes\\\\x+4=0\\\\x=-4\\\\ou\\\\x-3=0\\\\x=3$

Quadro de sinais em anexo.