Question

resolver inecuacion 3x + _> 3 (x-7)

Answer 1

Respuesta:

x ∈ ( 7 / 2 , ∞ ]

Explicación paso a paso:

$\displaystyle{3x\geq \pm3(x-7)}\\\\\\\displaystyle{\rightarrow 3x/3\geq \pm3(x-7)/3}\\\\\\\displaystyle{\rightarrow x\geq \pm(x-7)}\\\\\\\displaystyle{\rightarrow x\geq -(x-7)}\\\\\\\displaystyle{\rightarrow x\geq -x+7}\\\\\\\displaystyle{\rightarrow x+x\geq -x+x+7}\\\\\\\displaystyle{\rightarrow 2x\geq +7}\\\\\\\displaystyle{\rightarrow x\geq 7/2}$

= > x ∈ ( 7 / 2 , ∞ ]